Question

In a bag, there are 15 blue marbles, seven red marbles, seven green marbles, and three yellow marbles. You reach into the bag once. What is the probability you will pick a blue or yellow marble?

a) 15/32
b) 7/15
c) 3/15
d) 7/32

Answer 1

The probability of selecting either a blue or yellow marble from a bag with a total of 32 marbles (15 blue, 7 red, 7 green, 3 yellow) is 9/16, which is not among the given answer choices.

Step-by-step explanation:

The subject question involves calculating the probability of selecting a blue or yellow marble from a bag with 15 blue marbles, seven red marbles, seven green marbles, and three yellow marbles. To compute this probability, we'll combine the chances of picking either type of marble.

• Total marbles in the bag = 15 (blue) + 7 (red) + 7 (green) + 3 (yellow) = 32 marbles.
• Chances of picking a blue marble = number of blue marbles / total number of marbles = 15/32.
• Chances of picking a yellow marble = number of yellow marbles / total number of marbles = 3/32.
• Total probability of picking a blue or a yellow marble = probability of blue + probability of yellow = (15/32) + (3/32) = (15 + 3)/32 = 18/32 = 9/16.

So, the correct answer to the question, "What is the probability you will pick a blue or yellow marble?" is not listed among the given choices, as the correct answer is 9/16.