But Which Odd Numbers?

Probability Level 1

If I rolled a fair 6-sided dice 3 times, what is the probability that I rolled all odd numbers?

Clarification : Each face of the dice is labelled with a distinct integer in the interval 1 to 6 (inclusive).

1 8 \frac18 3 8 \frac38 5 8 \frac58 7 8 \frac78

Chung Kevin by Chung Kevin , 46, Australia

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1 solution

Hana Wehbi
Apr 29, 2016

The probability of getting an odd number is 3/6 = 1/2. Rolling a die 3 times and getting an odd number is (1/2)^3= 1/8

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But isn't the Problem to calculate the probability of rolling all odd number, which means all numbers have to be different? So isn't the solution 3/6x2/6x1/6 = 1/36?

Frederik Lang - 5 years, 1 month ago

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No, the question is clear. There is 50% of getting an even number and 50% of getting an odd number and when you roll a dice "n" times, you raise your probabiltiy to n.

Hana Wehbi - 5 years, 1 month ago

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