Question

A box contains four red two white and three green marbles all of which are the same size two marbles are selected one after from the box without replacement what is the probability that marbles are the same color

Answer 1

The probability that the marbles selected are of the same colour is; 5/18

Probability of outcome

The probability that the marbles are the same colour includes:

• The probability of 2 reds, 2 whites, 2 greens.

The total number of marbles = 9 marbles.

Since, the selection is without replacement;

The probability of selecting same colour marbles is;

• {4/9×3/8} + {2/9×1/8} + {3/9×2/8}

The probability of selecting same colour marbles is therefore;

• 12/72 + 2/72 + 6/72

• = 5/18

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