Question

One marble jar has several different colored marbles inside of it. it has 1 red, 2 green, 4 blue, and 5 yellow marbles. all the marbles are the same size and shape. if jack takes out a marble from the jar without looking, what is the probability that he will not choose a yellow marble.

a. 5/12
b. 2/12
c. 7/12
d. 4/12

Answer 1

The probability of not drawing a yellow marble from the jar is calculated by dividing the number of non-yellow marbles by the total number of marbles, resulting in a probability of 7/12. Option c.

Step-by-step explanation:

The question deals with calculating the probability of not drawing a yellow marble from a jar containing marbles of different colors. First, let's find the total number of marbles in the jar by adding up the different colors: 1(red) + 2(green) + 4(blue) + 5(yellow) = 12 total marbles.

The number of marbles that are not yellow is 1(red) + 2(green) + 4(blue) = 7 non-yellow marbles.

To calculate the probability that Jack will not choose a yellow marble, we use the formula for probability which is the number of favorable outcomes divided by the total number of possible outcomes.

Probability = (Number of non-yellow marbles) / (Total number of marbles) = 7/12

Therefore, the probability that Jack will not pick a yellow marble is 7/12, which corresponds to option c. 7/12.