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Answer :
The probability that Robert picks a black marble is 3/8. The result is obtained from the ratio of the number of black marble to all marbles.
What is probability?
Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.
Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
- P(A) is the probability of an event A
- n(A) is the number of favorable outcomes
- n(S) is the total number of events in the sample space
In case Robert has 3 black marbles and 5 marbles of other colors, then he picks a marble randomly, what is the probability of picking black marble?
Total number of marbles is 3 + 5 = 8.
n(S) = 8
Number of black marble is 3.
n(A) = 3
The probability of picking black marble is
P(A) = n(A) / n(S)
P(A) = 3/8
Hence, the probability that Robert picks a black marble is 3/8.
Learn more about probability here:
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