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# What is the probability of rolling a number greater than 2 twice in a

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Math Expert
Joined: 02 Sep 2009
Posts: 62298
What is the probability of rolling a number greater than 2 twice in a  [#permalink]

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06 Mar 2019, 23:11
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Difficulty:

5% (low)

Question Stats:

85% (01:00) correct 15% (00:55) wrong based on 52 sessions

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What is the probability of rolling a number greater than 2 twice in a row on a fair six-sided die, with each of the numbers 1– 6 on each side?

A. $$\frac{1}{4}$$

B. $$\frac{5}{18}$$

C. $$\frac{4}{9}$$

D. $$\frac{5}{9}$$

E. $$\frac{2}{3}$$

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Joined: 17 May 2018
Posts: 140
Location: India
Re: What is the probability of rolling a number greater than 2 twice in a  [#permalink]

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07 Mar 2019, 00:45
1st throw probability of getting greater than or equal to 3= 4/6
2nd throw probability of getting greater than or equal to 3= 4/6
Therefore total probability= 4*4/6*6= 4/9

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Joined: 18 Aug 2017
Posts: 6058
Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: What is the probability of rolling a number greater than 2 twice in a  [#permalink]

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07 Mar 2019, 03:16
Bunuel wrote:
What is the probability of rolling a number greater than 2 twice in a row on a fair six-sided die, with each of the numbers 1– 6 on each side?

A. $$\frac{1}{4}$$

B. $$\frac{5}{18}$$

C. $$\frac{4}{9}$$

D. $$\frac{5}{9}$$

E. $$\frac{2}{3}$$

>2 = 4 /6 = 2/3
twice = 4/9
IMO C
Re: What is the probability of rolling a number greater than 2 twice in a   [#permalink] 07 Mar 2019, 03:16
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