a. The number 1 is rolled each time?

b. An odd number is rolled each time?

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Thomas L. | Mathematics TutorMathematics Tutor

a. consecutive rolls mean multiplication of each individual probability. there is 1 one on a die, and 6 total outcomes which means a 1/6 probability each time(no need to subtract 1, you can't take the #1 off of a die.)

next multiply 1/6 times 1/6 times 1/6 times....a total of 5 times.

b. how many odd numbers are there on a die? 1,2,3,4,5,6 possibilities, so 1,3,5 are odd. 3/6 probability.

consecutive rolls mean multiplication. 3/6 times 3/6 times.... a total of 5 times. reduce you answer.

a. (1/6)^{6}, since every roll does not depend on the previous outcome, and the probability of rolling 1 once is 1/6.

b. You can roll odd number by 3 ways: roll 1, 3, or 5. So the probability to roll odd number once is 1/2, then rolling it 6 times is (1/2)^{6}=1/64=0.015625.

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