Question

Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is ______.

Options

• `1/2`

• `2/5`

• `3/10`

• `5/9`

Answer 1

Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is `underlinebb(1/2)`.

Explanation:

Number on the cards are 2, 3, 4, ..., 11.

Sample space associated with the experiment, S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}.

∴ Total number of outcomes = 10.

Let A be the event of drawing a card with a prime number.

The cards with prime number are 2, 3, 5, 7 and 11.

Number of outcomes in favour of event A = 5.

`therefore \text{Requried probablity = P(A)}=(text{Number of outcomes in favour of A})/(text{ Total number of outcomes}) = 5/10 = 1/2`.