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# Seiko has a 6-sided number cube with sides labeled 1 through 6. If she

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Math Expert
Joined: 02 Sep 2009
Posts: 57238
Seiko has a 6-sided number cube with sides labeled 1 through 6. If she  [#permalink]

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03 Jan 2019, 11:44
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Difficulty:

5% (low)

Question Stats:

90% (00:46) correct 10% (00:47) wrong based on 35 sessions

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Seiko has a 6-sided number cube with sides labeled 1 through 6. If she rolls the cube twice, what is the probability that the product of the two rolls is less than 36?

(A) 1/6
(B) 1/3
(C) 2/3
(D) 5/6
(E) 35/36

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Re: Seiko has a 6-sided number cube with sides labeled 1 through 6. If she  [#permalink]

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05 Jan 2019, 19:21
1
Seiko has a 6-sided number cube with sides labeled 1 through 6. If she rolls the cube twice, what is the probability that the product of the two rolls is less than 36?

for the product to be less than 36, both the time cube should not roll to 6, Since 6*6 = 36 is the only possibility

First roll probability = 6 (any number 1- 6 can be possible)
Second roll probability = 6

Total number of possibilities = 6*6
= 36

But Showing up of 6(First Roll) and 6(Second roll) can happen only in one way
=> probability of product >= 36 is 1/36
Probability of $$Product < 36 = 1-1/36 = 35/36$$
Option E is correct
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Re: Seiko has a 6-sided number cube with sides labeled 1 through 6. If she  [#permalink]

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06 Jan 2019, 04:59
Bunuel wrote:
Seiko has a 6-sided number cube with sides labeled 1 through 6. If she rolls the cube twice, what is the probability that the product of the two rolls is less than 36?

(A) 1/6
(B) 1/3
(C) 2/3
(D) 5/6
(E) 35/36

product of two rolls would be >36 only at 6,6 whose P is 1/36

so for a 6 sided cube to get product <36 would be
1-1/36 = 35/36 IMO E
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Re: Seiko has a 6-sided number cube with sides labeled 1 through 6. If she   [#permalink] 06 Jan 2019, 04:59
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