Question

In a game of cards, 7 cards are taken and numbered 1 to 7. The probability of getting an even number and the probability of getting an odd number are equal.

• A. True
• B. False

Answer 1

The correct option is B

False

The cards are numbered as 1,2,3,4,5,6,7

Total number of outcomes = 7

Number of odd numbers (favourable outcomes) = 4

Number of even numbers (favourable outcomes) = 3

$\text{Probability}=\frac{\text{Number of favourable outcomes}}{\text{Total Number of outcomes}}$

Probability of getting odd number
$=\frac{\text{Number of odd numbered cards}}{\text{Total number of cards}}$;
$=\frac{4}{7}$

Probability of getting even number
$=\frac{\text{Number of even numbered cards}}{\text{Total number of cards}}$
$=\frac{3}{7}$

Probabilities are different. Hence, the statement is false.