Question

Consider an experiment where we roll 7 fair 6-sided dice simultaneously (the results of the dice...

Consider an experiment where we roll 7 fair 6-sided dice simultaneously (the results of the dice are
independent from each other).


(a) What is the probability that exactly 3 of the dice are greater than or equal to 5?
(b) Suppose now that each of the 7 6-sided dice are weighted the same such that the probability of
rolling a 6 is 0.5, and every other side that is not a 6 has equal probability of being rolled. If we repeat
the experiment above, what is the expected number of dice that have an even roll?

Math   Statistics-And-Probability   
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