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From a well-shuffled pack idea: a box has cards numbered 1 to 20. What is the probability of drawing a multiple of 5? (As a fraction.)

Class 7Data HandlingData Handling
  • A
  • B
  • C
  • D

Step-by-Step Solution

Multiples of 5 from 1 to 20: 5, 10, 15, 20 = 4 numbers. Total = 20. .
Answer: A)

Key idea: Probability — chance as a number

If all outcomes are equally likely, the probability of an event is:

P(event) = (number of outcomes favouring the event) / (total possible outcomes).

Examples on a fair die:
- P(rolling a 4) = .
- P(rolling an even number) = (favourable: 2, 4, 6).
- P(rolling a number > 6) = (impossible).
- P(rolling a number ≤ 6) = (certain).

Probability is always between 0 (impossible) and 1 (certain). The probabilities of all possible outcomes sum to 1.

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