Question

A bag contains 25 marbles of the same size that are yellow, green, and purple. The probability of picking a yellow marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a purple marble from the bag and then classify the probability of picking a purple marble as likely or not likely to occur.

Answer 1

30% is the likelihood of picking a purple marble because 20% of 25 is 5 and 50% of 25 is 12.5 which leaves 7.5 marbles left (purple) and 7.5/25 = .30 which you multiply by 100 to get a percentage of 30
you are less likely to pick a purple marble than a green marble, but you have the least chance of picking a yellow marble

Answer 2

In a bag which contains the 25 marbles, yellow, green, and purple, the probability of picking a purple marble is 30 percent.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1.

Thus the probability of one event is equal to the one or equal to the 100 percent.

Given information-

The total number of marbles in the bag is 25.

The probability of picking a yellow marble is 20%.

The probability of picking a green marble is 50%.

There is total probability of a event is the sum of probability of all the result occurs in that event.

The total probability is the sum of probability of picking a yellow marble, probability of picking a green marble, and probability of picking a purple marble. Thus,

$P_t=P_y+P_g+P_p\\100=20+50+P_p\\P_p=100-70\\P_p=30$

Thus the probability of picking a purple marble from the bag is 30 percent.

As the probability of picking a green marble is 50%. Thus it has highest probability to occur and probability of picking a yellow marble is 20%, which is least among all. Thus it has least likely to occur among all.

Hence, the probability of picking a purple marble is less likely to occur than green and more likely to occur than yellow.

Learn more about the probability here;

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