Class 7 Chance and Probability — practice questions with answers

Data Handling · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. When a fair coin is tossed once, how many possible outcomes are there?

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Answer: B) 2

A coin can land as Head or Tail, so there are 2 possible outcomes.

2. A bag contains 4 yellow and 6 blue marbles. One marble is picked at random. What is the probability that it is blue?

A $\frac{2}{5}$
B $\frac{3}{5}$
C $\frac{4}{10}$
D $\frac{6}{4}$

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Answer: B)

\frac{3}{5}

Blue marbles = 6, total = 4 + 6 = 10. Probability =

\frac{6}{10}

\frac{3}{5}

3. A die is rolled once. What is the probability (as a decimal) of getting the number 3? Give the answer rounded to two decimal places.

A0.34
B0.67
C-0.33
D0.17

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Answer: D) 0.17

Probability =

\frac{1}{6}

= 0.1666..., which rounds to 0.17.

4. In a quiz lucky draw, slips numbered 1 to 30 are kept in a box.
One slip is drawn at random.
What is the probability that the number drawn is a multiple of 6?

A $\frac{1}{6}$
B $\frac{1}{5}$
C $\frac{1}{10}$
D $\frac{5}{30}$

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Answer: A)

\frac{1}{6}

Multiples of 6 from 1 to 30 are 6, 12, 18, 24, 30 (5 slips). Probability =

\frac{5}{30}

\frac{1}{6}

5. In a lucky draw, tickets numbered 1 to 100 are kept in a drum at a Hyderabad mall.
One ticket is pulled out at random.
What is the probability that the ticket number is a multiple of both 4 and 5?

A $\frac{1}{20}$
B $\frac{1}{10}$
C $\frac{1}{25}$
D $\frac{1}{5}$

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Answer: A)

\frac{1}{20}

A multiple of both 4 and 5 is a multiple of 20. From 1 to 100 these are 20, 40, 60, 80, 100 (5 tickets). Probability =

\frac{5}{100}

\frac{1}{20}

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