Multiple choice

A bag contains 5 red and 7 white balls. Another bag contains 3 red and 12 white balls. What is the probability that a ball drawn at random from one or the other bag is red?

  1. 5/24

  2. 1/10

  3. 37/120

  4. 17/24

  5. 3/120
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Assuming there is an equal chance of choosing either bag, the probability of selecting the first bag and then a red ball from it is 1/2 multiplied by 5/12, giving 5/24. The probability of selecting the second bag and then a red ball from it is 1/2 multiplied by 3/15, giving 1/10, and adding these two probabilities together gives 37/120.

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