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. (5 points)

Answer 1

To find the probability of picking a purple marble, we first need to find the total probability of picking a marble.

P(yellow) = 20%
P(green) = 50%

Let P(purple) = x

Since the total probability of picking a marble must equal 1:

P(yellow) + P(green) + P(purple) = 100%
0.20 + 0.50 + x = 1
0.70 + x = 1
x = 0.30

Therefore, the probability of picking a purple marble is 30%.

Since the probability of picking a purple marble is greater than 25%, but less than 50%, we can classify the probability of picking a purple marble as not likely to occur.