f two dice are rolled once and one die rolled

Lauren Mullins

Lauren Mullins

Answered question

2022-02-14

f two dice are rolled once and one die rolled a second time if the first two rolls have same number, what is the probability of getting a sum of 14?

Answer & Explanation

Evie French

Evie French

Beginner2022-02-15Added 18 answers

Work backwards, then determine the probabilities
Explanation:
If the sum is 14, then possible values for the second roll (given that the first two are equal) and the value of the first rolls:
(First double, Second single)
(66,2)
(55,4)
(44,6)
P(two 6's then a 2) =(16)3=1216
Same probability for the other two outcomes.
Total probability =3216=172

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