Solve the word problem.There are 8 red, 5 blue, and 2 green marbles in a hat. Without looking, you picked a blue marble. Without putting the blue marble back, what is the probability of picking a green marble?
To find the probability of picking a green marble without putting the blue marble back, we first need to calculate the total number of marbles in the hat after picking the blue marble
To find the probability of picking a green marble without putting the blue marble back, we first need to calculate the total number of marbles in the hat after picking the blue marble.
The total number of marbles initially in the hat is 8 (red) + 5 (blue) + 2 (green) = 15 marbles.
After picking the blue marble, we have 15 – 1 = 14 marbles left in the hat.
Out of the 14 marbles remaining, we have 2 (green) marbles.
Therefore, the probability of picking a green marble without replacing the blue marble is 2/14.
Simplifying the fraction, we get the probability of picking a green marble as 1/7.
Thus, the probability of picking a green marble without replacing the blue marble is 1/7.
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