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. (5 points)
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GPT 3.5
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.
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.
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