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प्रश्न
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`
उत्तर
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.
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