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Probability
CBSE 2026 Board Exam Set 1 (Code 30/7/1)
CBSE_BOARD_PYQ_2026_30_7_1
Grade 10

Question:

[Section C]

Cards numbered from $60$ to $100$ are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the drawn card is:

1. A composite number. (1.5 Marks)
2. Divisible by $6$. (1.5 Marks)

Step-by-Step Solution

Key Concept: Total outcomes $= 100 - 60 + 1 = 41$ (Wait, between 60 and 100 excluded or included? Total numbers 61 to 99 = 39).
Total numbers between 60 and 100 $= 39$. [0.5 Mark]

1. Favorable composite numbers $= 31$. Probability $= \dfrac{31}{39}$. [1.25 Marks]

2. Favorable numbers divisible by 6 (66, 72, 78, 84, 90, 96) $= 6$. Probability $= \dfrac{6}{39} = \dfrac{2}{13}$. [1.25 Marks]

Correct Answer: 1. 31/39, 2. 2/13
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