You toss a pair of dice. (a) Determine the number of possible pairs of outcomes. (Recall that there are six possible outcomes for each die.) (b) There are three even numbers on each die. How many outcomes are possible with even numbers appearing on each die? (c) Probability extension: What is the probability that both dice will show an even number? (Round your answer to two decimal places.)

Question

Social Studies

Jamison Prince

29 June, 12:17

You toss a pair of dice. (a) Determine the number of possible pairs of outcomes. (Recall that there are six possible outcomes for each die.) (b) There are three even numbers on each die. How many outcomes are possible with even numbers appearing on each die? (c) Probability extension: What is the probability that both dice will show an even number? (Round your answer to two decimal places.)

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Cheyanne Hogan · Answer 1

(a) When two dice are rolled, the total outcome we would have is have n (S) = (6 * 6) = 36 outcomes.

(b) The number of outcome gotten for even numbers, which is 3 per dice is n (S) = (3 * 3) = 9 outcomes.

(c) The probability that both dice will show an even number, is one over total even number outcomes.

Probability of even number=>

P (E) = 1/9 = 0.11