High School

Robert has 3 black marbles in a bag, along with 5 marbles of other colors. Robert picks a marble from the bag without looking. What is the probability that Robert picks a black marble?

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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