Consider the experiment where a fair coin is tossed If the t

Consider the experiment where a fair coin is tossed. If the toss results in a head, then 1 die is thrown. If the toss results in a tail, then 2 dice are thrown. Let X denote the random variable that counts the number of spots showing on the thrown die or dice. The range of values that X can assume are the positive integers from 1 to 12 inclusive. Please give the corresponding probabilities for the values of X given below.

Pr(X = 1) = 1/12

Pr(X = 2) = 7/72

Pr(X = 3) = 1/9

Pr(X = 4) = 1/8

Pr(X = 5) = 5/36

Pr(X = 6) = 11/72

Pr(X = 7) = 1/12

Pr(X = 8) = 5/72

Pr(X = 9) = 1/18

Pr(X = 10) = 1/24

Pr(X = 11) = 1/36

Pr(X = 12) = 1/72

NEED HELP with below problem:

find the probability that X is divisible by 6.
Probability that X is divisible by 6 equals

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Solution