Multiple choice

A bag contains 100 cards on each card the number 1 -100 are written. Jack picks out a card from the bag. What is the probability that the number on the card is divisible by $ 7$

  1. $\dfrac{7}{50}$
  2. $\dfrac{8}{90}$
  3. $\dfrac{17}{100}$
  4. $\dfrac{1}{10}$
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A Correct answer
Explanation

Numbers divisible by 7 between 1 and 100 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98. There are 14 such numbers. The probability is 14/100, which simplifies to 7/50.

AI explanation

According to the classical definition of probability, we divide the number of favorable outcomes by the total number of possible outcomes. Between 1 and 100, there are exactly 14 numbers divisible by 7, and the total number of possible outcomes is 100. Therefore, the probability is 14 divided by 100, which simplifies to 7/50.

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