A probability problem by Vikram Singh

Probability Level pending

John is tossing two independent fair 6-sided dice simultaneously. John said that the sum of two dice is 7 . Given this information, what is the probability that the first dice is 4?

1 3 \frac{1}{3} 1 6 \frac{1}{6} 2 3 \frac{2}{3} 1 2 \frac{1}{2}

Vikram Singh by Vikram Singh , 24

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2 solutions

Shannon Yang
Apr 24, 2014

If 1 die rolls x, the other must roll 7-x. This is possible for all x from 1 to 6. So the problem just reduces to the probability of rolling a 4 on 1 die, 1/6.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Abdul Rakib
Apr 17, 2014

cases can be: 1,6 2,5 3,4 4,3 5,2 6,1 so the probability is 1 / 6.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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