Cards marked with numbers 5 to 50 are placed in a box and mixed thorou

1.	Cards marked with numbers 5 to 50 are placed in a box and mixed thoroughly. A cards is drawn from the box at random. Find the probability that the number on the taken out card is(i) a prime number less than 10(ii) a number which is a perfect square.
Answer» All possible outcomes are 5 ,6, 7, 8.........50. Number of all possible outcomes = 46 (i) Out of the given numbers, the prime numbers less than 10 are 5 and 7. Let E₁ be the event of getting a prime number less than 10. Then, number of favorable outcomes = 2 Therefore, p(getting a prime number less than 10) = P(E) = \(\frac{2}{46}\) = \(\frac{1}{23}\) (ii) out of the given numbers, the perfect squares are 9, 16, 25, 36 and 49. Let E₂ be the event of getting a perfect square. Then, number of favorable outcomes = 5 Therefore, P(getting a perfect square) = P(E) = \(\frac{5}{46}\)

Cards marked with numbers 5 to 50 are placed in a box and mixed thoroughly. A cards is drawn from the box at random. Find the probability that the number on the taken out card is(i) a prime number less than 10(ii) a number which is a perfect square.

Answer»

All possible outcomes are 5 ,6, 7, 8.........50.

Number of all possible outcomes = 46

(i) Out of the given numbers, the prime numbers less than 10 are 5 and 7.

Let E₁ be the event of getting a prime number less than 10.

Then, number of favorable outcomes = 2

Therefore, p(getting a prime number less than 10) = P(E) = \(\frac{2}{46}\) = \(\frac{1}{23}\)

(ii) out of the given numbers, the perfect squares are 9, 16, 25, 36 and 49.

Let E₂ be the event of getting a perfect square.

Then, number of favorable outcomes = 5

Therefore, P(getting a perfect square) = P(E) = \(\frac{5}{46}\)

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