Which of the following pairs of events is mutually exclusive?

a) Drawing a face card or drawing a queen from a deck of cards.

b) Rolling doubles or rolling a total of 6 with two standard dice.

c) Spinning a prime number or spinning an even number on a spinner with eight sectors numbered from 1 to 8.

d) Electing a female class president or electing a male class president.

The pairs of events represent the condition that the mutually exclusive events that spinning a prime number or spin an even number on a spinner with eight sectors numbered from 1 to 8 which is correct option(C).

What are Mutually Exclusive events?

Mutually Exclusive events are defined as in probability the particular addition rule is applicable when two occurrences are incompatible with one another. It claims that the probability of either event is equal to the probability of each event separately.

If E₁ and E₂ are said to be mutually exclusive events then the probability of an event E₁ occurring or the probability of event E₂ occurring is given as P(E₁) + P(E₂) :

P(E₁ ∪ E₂) = P(E₁) + P(E₂)

The equation represents the condition that the mutually exclusive event is one of the events that occur, or both occur.

Hence, the pairs of events represent the condition that the mutually exclusive events that spinning a prime number or spin an even number on a spinner with eight sectors numbered from 1 to 8.

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