Answer:
P(X = 12) = 0.0064.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

We want P(X = 12). So


P(X = 12) = 0.0064.
B. Because 20 is greter than 18.
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Answer:
1/24
Step-by-step explanation:
The probability of drawing a diamond is 1/4 and the prob. of rolling a 5 is 1/6. Multiply the two together