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Question

# When you roll a fair die once, getting a prime number is an even chance event.

A
True
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B
False
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Solution

## The correct option is A TrueEven Chance Event––––––––––––––––––––––––– An event is said to be Even Chance if there is equal chances of its occurrence and non-occurrence. The probability of even chance event is 12. Given:––––––––– A fair die is rolled once, ∴Sample Space={1, 2, 3, 4, 5, 6} ⇒ Total number of possible outcomes =6 Need to Find:–––––––––––––––––– Getting a prime number is even chance event or not? Favorable outcomes = Set of prime numbers ={2, 3, 5} ∴ Number of favorable outcomes =3 P(prime)=Number of favorable outcomesTotal number of possible outcomes P(prime)=36=33×2=12=0.5 Hence, when you roll a fair die once, getting a prime number is an even chance event.

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