Respuesta :
Without replacement, the probability that all three marbles drawn will be red is 0.01.
What is the probability?
Probabiliy is used to determine the likelihood of an event happening. The probability that the event would occur lies between 0 and 1.
Probability of drawing three red marbles = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles - 1) x (number of red marbles / total number of marbles - 1)
5/17 x 4/16 x 3/15 = 0.01
The probability, to the nearest 10th of a percent, that all three marbles drawn will be red; 1.5%
How to calculate probability?
We are given;
Number of red marbles = 5
Number of blue marbles = 8
Number of Green marbles = 4
Total number of marbles = 5 + 8 + 4
Total number of marbles = 17
Probability of first being red = 5/17
Probability of second being red = 4/16
Probability of third being red = 3/15
Thus;
P(all three marbles drawn are red) = (5/17) * (4/16) * (3/15)
P(all three marbles drawn are red) = 0.0147
Approximating to nearest tenth of a percent = 0.015 = 1.5%
Read more about Probability at; https://brainly.com/question/251701
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