CBSE Class 10 Maths (Standard) 2025 · Paper 30/2/1 · Question 37

Probability 4 marks Medium

Rahul is a lucky charm for his cricket team. He has a jar of cards with numbers from

10

74

. Before each match, he draws a card from the jar. If the card bears an even number, the team wins. If the number is even and divisible by

5

, they win by a big margin. If the number is an odd number less than

30

, they win by a small margin. And if the number is a prime number between

50

and

74

, they lose. Answer the following questions if Rahul draws a card today :

(i)What is the probability that Rahul draws a card with an even number?[1]
(ii)What is the probability that Rahul draws a card with an odd number less than $30$ ?[1]
(iii)(a)What is the probability that Rahul draws a card with a prime number between $50$ and $74$ ?[2]
(iii)(b) [OR]What is the probability that Rahul draws a card with an even number divisible by $5$ ?[2]

Answer

(i)

P (even number) = \frac{33}{65}

; (ii)

P (odd number less than 30) = \frac{10}{65} = \frac{2}{13}

; (iii)(a)

P (prime number between 50 and 74) = \frac{6}{65}

; (iii)(b)

P (even number divisible by 5) = \frac{7}{65}

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