Probability Flashcards

1
Q

What is the definition of probability?

A

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

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2
Q

True or False: The probability of an impossible event is 1.

A

False.

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3
Q

Fill in the blank: The sum of the probabilities of all possible outcomes in a probability space is ______.

A

1.

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4
Q

What is the formula for calculating the probability of an event?

A

P(A) = Number of favorable outcomes / Total number of possible outcomes.

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5
Q

What is a sample space?

A

A sample space is the set of all possible outcomes of a probability experiment.

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6
Q

What is the probability of rolling a sum of 7 with two six-sided dice?

A

There are 6 favorable outcomes, so the probability is 6/36 or 1/6.

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7
Q

Define ‘mutually exclusive events’.

A

Mutually exclusive events are events that cannot occur at the same time.

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8
Q

Calculate the probability of drawing an Ace from a standard deck of cards.

A

There are 4 Aces in a deck of 52 cards, so the probability is 4/52 or 1/13.

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9
Q

True or False: The total probability of all outcomes in a probability model must equal 0.

A

False.

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10
Q

Fill in the blank: In a fair coin toss, the probability of getting heads is ______.

A

0.5.

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11
Q

What is the probability of rolling a number greater than 4 on a six-sided die?

A

The probability is 2/6 or 1/3.

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12
Q

True or False: In probability, an event with a probability of 0 is certain to occur.

A

False.

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13
Q

What is the probability of drawing a red card from a standard deck of cards?

A

There are 26 red cards in a deck of 52 cards, so the probability is 26/52 or 1/2.

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