the population of the US was 282 million in the year 2000. and 309 million in the year 2010. assuming that the US population fol
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Answer:
(a) The probability that both Dave and Mike will show up is 0.25.
(b) The probability that at least one of them will show up is 0.75.
(c) The probability that neither Dave nor Mike will show up is 0.25.
Step-by-step explanation:
Denote the events as follows:
<em>D</em> = Dave will show up.
<em>M</em> = Mike will show up.
Given:
It is provided that the events of Dave of Mike showing up are independent of each other.
(a)
Compute the probability that both Dave and Mike will show up as follows:
Thus, the probability that both Dave and Mike will show up is 0.25.
(b)
Compute the probability that at least one of them will show up as follows:
P (At least one of them will show up) = 1 - P (Neither will show up)
Thus, the probability that at least one of them will show up is 0.75.
(c)
Compute the probability that neither Dave nor Mike will show up as follows:
Thus, the probability that neither Dave nor Mike will show up is 0.25.