Mathematics

Question

Lie is rolling a random number cube. The cube had six sides, and each side is labeled with a different number 1 through 6. What is the probability that he will roll a 5 and then a 3 in two rolls?

1 Answer

  • Answer:

    [tex]\frac{1}{36}[/tex]

    Step-by-step explanation:

    We will find the probability of rolling a 5 and then probability of rolling a 3 and then multiply the numbers to get the probability that he will roll a 5 and then a 3 in two rolls.

    There are 6 total possibilities (1 through 6).

    There are one 5s, so the probability of rolling a 5 would be:

    P(roll 5) = 1/6

    Also, there is one 3, so rolling a 3 would have the same probability.

    P(roll 3) = 1/6

    Hence,

    Probability of rolling a 5 and then a 3 is:

    P(5,3) = 1/6 * 1/6 = 1/36

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