Part 1: Probability

Question 1

If two probable events cannot occur at the same time, these are called:

Answer 1

Mutually exclusive

Question 2

If the probable event of one thing occurring, does not affect the probability of another thing occurring, these are called:

Answer 2

Independent events

Question 3

Tossing a coin is a:

Answer 3

Mutually exclusive event.

Question 4

Rolling a die twice.

Choosing a card from a deck, replacing it, and then pulling out another card.

Tossing a coin and then rolling a die.

These are called:

Answer 4

Independent events.

Question 5

If the occurrence of either event does not affect the probability of each other occurring, this is called:

Answer 5

Non-mutually exclusive

Question 6

Rolling a die, the probability that a number rolled will be less than 4 and also an odd number is called a:

Answer 6

Non-mutually exclusive event.

Question 7

The probability of an event occurring, given that another event has already occurred, is called:

Answer 7

Non-independent events

Question 8

If we pick 2 random cards from a deck, without replacement, these would be:

Answer 8

Non-independent events.

Question 9

To calculate the possible number of ways something may occur in order to achieve the same outcome, which formula do we use?

Answer 9

Combinations: NCr

Question 10

If Mary was sitting 5 A-level exams, what formula could she use to calculate how many ways she could get 3 A’s in any of her exams?

Answer 10

Combinations formula: NCr

Question 11

In the events that the probability of a certain outcome, given that it relies on the success on a number of independent events, each with their own levels of probability, we should use the:

Answer 11

Binomial distribution formula.

p(r)

Question 12

Mary takes an 5 question MCQ test, with 7 possible answers for each question. What formula should she use if she wishes to know the probability of her getting 3 out of 5 questions right if she guesses her answers?

Answer 12

Binomial distribution formula

p(r)