Question

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

• A. True
• B. False

Answer 1

The correct option is A True

$\underset{–}{\text{Even Chance Event}}$
An event is said to be $\text{Even Chance}$ if there is equal chances of its occurrence and non-occurrence. The probability of even chance event is $\frac{1}{2}$.

$\underset{–}{\text{Given}:}$
A fair die is rolled once,
$\therefore \text{Sample Space}=\{1,2,3,4,5,6\}$

$\Rightarrow$ Total number of possible outcomes $=6$

$\underset{–}{\text{Need to Find}:}$
Getting a prime number is even chance event or not?

Favorable outcomes
$=$ Set of prime numbers
$=\{2,3,5\}$
$\therefore$ Number of favorable outcomes $=3$

$\text{P(prime)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$\text{P(prime)}=\frac{3}{6}=\frac{3}{3\times 2}=\frac{1}{2}=0.5$

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