Multiple choice

In a bag there are 7 red, 4 white, 33 blue, and 33 yellow cubes. If one of these cubes is selected at random, what is the probability of selecting a cube that is neither blue nor yellow?

  1. 6/7

  2. 7/11

  3. 1/3

  4. 1/7
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D Correct answer
Explanation

Total cubes = 7 + 4 + 33 + 33 = 77. Cubes that are neither blue nor yellow are the red and white ones: 7 + 4 = 11. The probability is 11 / 77 = 1 / 7.

AI explanation

The total number of cubes in the bag is calculated as 7 red plus 4 white plus 33 blue plus 33 yellow, which equals 77. The favorable outcomes are selecting a cube that is neither blue nor yellow, meaning we only count the 7 red and 4 white cubes for a total of 11 favorable cubes. Using the fundamental probability formula of favorable outcomes divided by total outcomes, we get 11 divided by 77, which simplifies to 1/7.

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