## Answers

# P("2 successes") = 5/72#

#### Explanation:

For any particular throe of the dice, then:

# P(S) = 1/6 ; P(F) = 5/6 #

So if we roll the dies three times; then the permutations are as follows;

Thus the probably of 2 successes is:

# P("2 successes") = P(FSS) + P(SFS) + (SSF) #

# " " = 5/6 1/6 1/6 + 1/6 5/6 1/6 + 1/6 1/6 5/6 #

# " " = 3* 5/6 1/6 1/6 #

# " " = 15/216 #

# " " = 5/72 #

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