Probability and Statistics Flashcards by ELI Z

Suppose a license plate contains two distinct letters followed by three digits with the first digit not zero. How many different license plates can be printed?

a) 585,000
b) 685,000
c) 785,000
d) 885,000

a) 585,000

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In how many ways can one choose three cards in succession, with replacement, from a deck of 52 cards?

a) 140,508
b) 140,608
c) 140,708
d) 140,808

b) 140,608

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In how many ways can one choose three cards in succession, without replacement, from a deck of 52 cards?

a) 132,400
b) 132,500
c) 132,600
d) 132,700

c) 132,600

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If repetitions are permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many 3-digit numbers can be formed?

a) 160
b) 170
c) 180
d) 190

c) 180

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If repetitions are permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many of these are even?

a) 110
b) 120
c) 130
d) 140

b) 120

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If repetitions are permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many are less than 440?

a) 80
b) 90
c) 100
d) 110

b) 90

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If repetitions are permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many are multiples of 5?

a) 60
b) 65
c) 70
d) 75

a) 60

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If repetitions are not permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many 3-digit numbers can be formed?

a) 70
b) 80
c) 90
d) 100

d) 100

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If repetitions are not permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many of these are even?

a) 67
b) 68
c) 69
d) 70

b) 68

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If repetitions are not permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many are less than 440?

a) 50
b) 51
c) 52
d) 53

c) 52

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If repetitions are not permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many are multiples of 5?

a) 35
b) 36
c) 37
d) 30

b) 36

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In how many ways can a party of 7 persons arrange themselves in a row of 7 chairs?

a) 4,040
b) 5,040
c) 6,040
d) 7,040

b) 5,040

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In how many ways can a party of 7 persons arrange themselves around a circular table?

a) 720
b) 725
c) 730
d) 735

a) 720

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A group of 3 boys and 2 girls are to sit in a row.

In how many ways can the sit in a row without restrictions?

a) 100
b) 110
c) 120
d) 130

c) 120

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A group of 3 boys and 2 girls are to sit in a row.

In how many ways can they sit it in a row if the boys and girls are to sit together?

a) 21
b) 22
c) 23
d) 24

d) 24

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A group of 3 boys and 2 girls are to sit in a row.

In how many ways can they sit in a row if just the girls are to sit together?

a) 48
b) 49
c) 50
d) 51

a) 48

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How many 5 letter words can be formed from the word DADDY?

a) 18
b) 19
c) 20
d) 21

c) 20

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How many 11 letter words can be formed from the word MISSISSIPPI?

a) 34,630
b) 34,640
c) 34,650
d) 34,660

c) 34,650

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How many different signals, each consisting of 8 flags hung in a vertical line, can be formed from a set of 4 identical red flags, 3 identical white flags, and a blue flag?

a) 270
b) 280
c) 290
d) 300

b) 280

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How many committees of 3 can be formed from 8 people?

a) 54
b) 55
c) 56
d) 57

c) 56

In how many ways can a committee consisting of 3 men and 2 women be chosen from 7 men and 5 women?

a) 330
b) 340
c) 350
d) 360

c) 350

A delegation of 4 students is selected each year from a college to attend the National Student Association annual meeting.

In how many ways can the delegation be chosen if there are 12 eligible students?

a) 395
b) 495
c) 595
d) 695

d) 495

A delegation of 4 students is selected each year from a college to attend the National Student Association annual meeting.

In how many ways if two of the eligible students will not attend the meeting together?

a) 430
b) 440
c) 450
d) 460

c) 450

A delegation of 4 students is selected each year from a college to attend the National Student Association annual meeting.

In how many ways if two of the eligible students are married and will only attend the meeting together?

a) 245
b) 255
c) 265
d) 275

b) 255

Let a card be selected at random from an ordinary deck of 52 cards. Determine the probability that the card is a spade. a) 1/8 b) 1/4 c) 1/2 d) 1

b) 1/4

Let a card be selected at random from an ordinary deck of 52 cards. Determine the probability that the card is a face card. a) 3/13 b) 7/15 c) 8/11 d) 4/15

a) 3/13

Let a card be selected at random from an ordinary deck of 52 cards. Determine the probability that the card is a spade and a face card. a) 1/52 b) 2/52 c) 3/52 d) 4/52

c) 3/52

Let a card be selected at random from an ordinary deck of 52 cards. Determine the probability that the card is a spade or a face card. a) 11/26 b) 13/19 c) 14/23 d) 15/23

a) 11/26

Let 2 items be chosen at random from a lot containing 12 items of which 4 are defective. Determine the probability that both items are defective. a) 1/11 b) 2/11 c) 3/11 d) 4/11

a) 1/11

Let 2 items be chosen at random from a lot containing 12 items of which 4 are defective. Determine the probability that both items are non-defective. a) 11/33 b) 12/33 c) 13/33 d) 14/33

d) 14/33

Let 2 items be chosen at random from a lot containing 12 items of which 4 are defective. Determine the probability that at least one item is defective. a) 17/33 b) 18/33 c) 19/33 d) 20/33

c) 19/33

A coin is weighted so that heads is twice as likely to appear as tails. Find P(T) and P(H).

P(T) = 1/3 P(H) = 2/3

Two cards are drawn at random from an ordinary deck of 52 cards. Find the probability that both are spades. a) 1/17 b) 2/17 c) 3/17 d) 4/17

a) 1/17

Two cards are drawn at random from an ordinary deck of 52 cards. Find the probability that one is spade and one is heart. a) 12/102 b) 13/102 c) 14/102 d) 15/102

b) 13/102

Three light bulbs are chosen at random from 15 bulbs of which 5 are defective. Find the probability that none is defective. a) 21/91 b) 22/91 c) 23/91 d) 24/91

d) 24/91

Three light bulbs are chosen at random from 15 bulbs of which 5 are defective. Find the probability that exactly one is defective. a) 43/91 b) 44/91 c) 45/91 d) 46/91

c) 45/91

Three light bulbs are chosen at random from 15 bulbs of which 5 are defective. Find the probability that at least one is defective. a) 64/91 b) 65/91 c) 66/91 d) 67/91

d) 67/91

One letter is taken from each words SCIENTIST and ENGINEER. Find the probability that they are of the same letter. a) 5/72 b) 7/72 c) 11/72 d) 13/72

b) 7/72

With a throw of 2 dice, what is the probability of getting a 9 or an 11? a) 2/9 b) 3/7 c) 1/6 d) 4/5

c) 1/6

If two cards are drawn from a deck, what is the probability that at least one of the cards will be a face card? a) 39.71% b) 61.91% c) 14.87% d) 41.18%

d) 41.18%

Two cards are drawn at random from an ordinary deck of 52 cards. Find the probability that both are spades. a) 3/11 b) 4/15 c) 1/17 d) 9/13

c) 1/17

Two cards are selected at random from 10 cards numbered 1 to 10. Find the probability that the sum is odd if the two cards are drawn together. a) 6/11 b) 4/15 c) 5/9 d) 9/13

c) 5/9

The probability that A hits a target is 1/4 and the probability that B hits it is 2/5. What is the probability that the target will be hit if A and B each shoot at the target? a) 6/19 b) 5/13 c) 9/17 d) 11/20

d) 11/20

When 100 coins are tossed, what is the probability that at most 50 are heads? a) 0.38 b) 0.61 c) 0.32 d) 0.54

d) 0.54

The probability that a person recovers from a fatal disease is 0.4. Fifteen people contacted the disease. What is the probability that at least 5 of these people will survive the said disease? a) 0.53 b) 0.64 c) 0.79 d) 0.68

c) 0.79

The probability of getting a credit in an examination is 1/3. If 3 students are selected at random, what is the probability that at least one of the students got credit? a) 11/20 b) 9/22 c) 19/27 d) 17/22

c) 19/27

The life span of a calculator has a normal distribution with a mean of 54 months and a standard deviation of 8 months. The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. About what percentage of such calculators made by this company has a life span between 50 to 58 months? a) 49.30% b) 38.29% c) 16.28% d) 50.41%

b) 38.29%

The life span of a calculator has a normal distribution with a mean of 54 months and a standard deviation of 8 months. The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. About what percentage of such calculators made by this company has a life span from 60 months and beyond? a) 44.88% b) 33.77% c) 22.66% d) 11.55%

c) 22.66%

The life span of a calculator has a normal distribution with a mean of 54 months and a standard deviation of 8 months. The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. About what percentage of such calculators by this company expected to be replace? a) 0.22% b) 1.22% c) 2.22% d) 3.22%

b) 1.22%