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Question
A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears prime number less than 23 is
Options
`1/2`
`2/5`
`3/10`
`5/9`
Solution
Total number of cards = 10.
Out of the given numbers, prime numbers are 2, 3, 5, 7 and 11.
Numbers of favourable outcomes = 5.
∴ P(getting a prime number) = `("Number of favourable outcomes")/"Number of all possible outcomes"`
Thus, the probability of getting a card with a prime number is `1/2`.
Hence, the correct answer is option `1/2`.
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