Question

In an experiment involving a toxic substance, the probability that a white mouse will be alive for 10 hours is .1, the probability that a black mouse will be alive for 10 hours is .2, and the probability that a gray mouse will be alive for 10 hours is .3. find the probability that at the end of 10 hours, all three mice are alive.

Answer 1

probability that a white mouse will be alive for 10 hours is .1
probability that a black mouse will be alive for 10 hours is .2
probability that a gray mouse will be alive for 10 hours is .3

The probability that all mice are alive after 10 hours is:

0.1 x 0.2 x 0.3 = 0.006

The probability that all mice are dead after 10 hours is:

0.9 x 0.8 x 0.7 = 0.504