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

विकल्प

• A. `1/2`

• B. `2/5`

• C. `3/10`

• D. `5/9`

Answer 1

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 i})5/10=1/2`

Hence, the correct answer is A.