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Two dice, each numbered 1 to 6, are tossed. What is the probability th
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Bunuel
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Two dice, each numbered 1 to 6, are tossed. What is the probability th [#permalink] New post  26 Feb 2021, 05:00
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Two dice, each numbered 1 to 6, are tossed. What is the probability that the total score is 9 ?

A. 1/36
B. 1/9
C. 11/36
D. 25/36
E. 35/36
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BrentGMATPrepNow
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Re: Two dice, each numbered 1 to 6, are tossed. What is the probability th [#permalink] New post  26 Feb 2021, 05:49
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Bunuel wrote:
Two dice, each numbered 1 to 6, are tossed. What is the probability that the total score is 9 ?

A. 1/36
B. 1/9
C. 11/36
D. 25/36
E. 35/36


P(sum is 9) = P(1st is 6 and 2nd is 3 OR 1st is 3 and 2nd is 6 OR 1st is 5 and 2nd is 4 OR 1st is 4 and 2nd is 5)
= P(1st is 6) x P(2nd is 3) + P(1st is 3) x P(2nd is 6) + P(1st is 5) x P(2nd is 4) + P(1st is 4) x P(2nd is 5)
= 1/6 x 1/6 + 1/6 x 1/6 + 1/6 x 1/6 + 1/6 x 1/6
= 1/36 + 1/36 + 1/36 + 1/36
= 4/36
= 1/9

Answer: B
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Re: Two dice, each numbered 1 to 6, are tossed. What is the probability th [#permalink]
26 Feb 2021, 05:49
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