Multiple choice

A box has tokens numbered 3 to 100. If a token is taken out at random the chance that the number is divisible by 7 is

  1. 1/4

  2. 1/5

  3. 1/6

  4. 1/7
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D Correct answer
Explanation

Total numbers from 3 to 100 is 100 - 3 + 1 = 98. Multiples of 7 are 7, 14, ..., 98. This is 7*1 to 7*14, so there are 14 multiples. Probability = 14/98 = 1/7.

AI explanation

Using the classical probability formula, divide the number of favorable outcomes by the total outcomes. The total number of tokens from 3 to 100 is 98. The multiples of 7 in this range are from 7 to 98, which gives 14 favorable tokens. The probability is 14 divided by 98, which simplifies to 1/7. The chance is 1/7.

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