Francisco’s game involves a bag of 3 green, 2 yellow, 4 red, and 3 black marbles. Andrew wants to increase the likelihood of selecting a yellow marble. How can the game be modified to make drawing a yellow marble more likely? Select all that apply.

At first, the chance of yellow is 2 out of 12 marbles. Adding yellow marbles increases the number of favorable outcomes, so choices B and E make yellow more likely; tripling the yellow marbles gives 6 yellow out of 16 total. Removing 1 green, 1 black, and 2 red removes 4 non-yellow marbles, changing the chance to 2 out of 8, so choice C also helps. Adding green or black marbles increases the total without increasing the yellow count, making yellow less likely.

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