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Interesting dice roll question...

7 viewed last edited 1 year ago
Anonymous
0

There are two computerized dice(s?) one of which has a 10% higher chance of rolling an odd number than that of an even number while the other is the opposite - Higher chance of rolling an even number. When rolled together, whats the chance of rolling two odd numbers?

Mahesh Godavarti
0

If p is the probability of rolling an odd number in the first die and q the probability in the second die. Then the probability of rolling two odd numbers is p \cdot q .


We just have to calculate p and q . We know that p + \frac{p}{1.1} = 1 \implies p = \frac{1.1}{2.1} and q = \frac{1}{2.1} . Therefore, the probability of rolling two odd numbers is \frac{1.1}{2.1^2} .