If a random experiment consists of rolling a six-sided die 10 times, how many individual outcomes make up the sample space, and what is the probability of getting all sixes?
a.
There are 10 Superscript 6possible outcomes, only one of which is all sixes, so the probability of getting all sixes is (StartFraction 1 Over 10 EndFraction) Superscript 6 Baseline = 0.000001.
b.
There are 6 Superscript 10possible outcomes, only one of which is all sixes, so the probability of getting all sixes is (one-sixth) Superscript 10 Baseline = 0.0000000165.
c.
There are 10 Superscript 6possible outcomes, only one of which is all sixes, so the probability of getting all sixes is (one-sixth) Superscript 10 Baseline = 0.0000000165.
d.
There are 6 Superscript 10possible outcomes, only one of which is all sixes, so the probability of getting all sixes is (StartFraction 1 Over 10 EndFraction) Superscript 6 Baseline = 0.000001.