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Probability - 2 sixes in three rolls

Expert replies
by jerryragland » Tue Apr 27, 2010 2:53 am
Source- Veritas

What is the probability of getting exactly 2 sixes on three rolls of a fair six sided side?

Please verify my solution.

[spoiler]Possible Scenario 1 - Roll 1 - 6 ; Roll 2 - 6 ; Roll 3 - X (a number other than 6)

P(6) AND P(6) AND P (NOT 6)

1/6 * 1/6 * 5/6 = 5/216

No of ways to rearrange possible scenario 1 - Permutations with duplicates

3!/2! = 3

Therefore, 15/216[/spoiler]
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Source: — Problem Solving |

by sanju09 » Tue Apr 27, 2010 4:02 am
jerryragland wrote:Source- Veritas

What is the probability of getting exactly 2 sixes on three rolls of a fair six sided side?

Please verify my solution.

[spoiler]Possible Scenario 1 - Roll 1 - 6 ; Roll 2 - 6 ; Roll 3 - X (a number other than 6)

P(6) AND P(6) AND P (NOT 6)

1/6 * 1/6 * 5/6 = 5/216

No of ways to rearrange possible scenario 1 - Permutations with duplicates

3!/2! = 3

Therefore, 15/216[/spoiler]
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