Roll a fair die 6 times and read the number on the upper face. (a) What's the probability of observing all possible numbers 1 to 6? (b) What's the probability of observing three 6-s and three 1-s? (c) What's the probability of observing two 1-s, two 3-s and two 5-s? (d) What's the probability of observing six even numbers?

Question

Mathematics

Cheeto

19 July, 12:13

Roll a fair die 6 times and read the number on the upper face. (a) What's the probability of observing all possible numbers 1 to 6? (b) What's the probability of observing three 6-s and three 1-s? (c) What's the probability of observing two 1-s, two 3-s and two 5-s? (d) What's the probability of observing six even numbers?

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Kamren Ballard · Answer 1

a) every number is a 1/6 chance so 6*1/6 = 1/36

b) also 1/36 because the chance doesnt change. if you throw 6 twice, the chance for a third time is still 1/6.

c) 1/36

d) 2, 4 and 6 are even so now the chance is 3/6 = 1/2 and that times 6