Roll a fair six-sided die five times and record the number of spots on top. Whic

Question

Roll a fair six-sided die five times and record the number of spots on top. Which of the following sequences is more likely? Explain.

Sequence A: 22222

Sequence B: 16562

Choose the correct answer below and fill in any answer boxes in your choice.

(Type integers or fractions.)

A.

Sequence A is more likely, because it has a probability of

nothing

while Sequence B only has a probability of

nothing.

(Type an integer or a simplified fraction.)

B.

The two sequences are equally likely, because they both have a probability of

nothing.

(Type an integer or a simplified fraction.)

C.

Sequence B is more likely, because it has a probability of

nothing

while Sequence A only has a probability of

nothing.

(Type an integer or a simplified fraction.)

Explanation / Answer

Solution:

For the given scenario, rolling a fair six sided die five times are independent from each others. So, every sequence of outputs of numbers on the top of die should have same probability. So, correct answer is B.

Answer:

B.

The two sequences are equally likely, because they both have a probability of

nothing.

For the sequence A or B, each single output in sequence has probability 1/6, so each sequence have the probability (1/6)*(1/6)*(1/6)*(1/6)*(1/6) = (1/6)^5 = 1/7776 = 0.000129.

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