You toss a pair of fair six-sided dice. 6-sided green and red dice 2 (a) Determine the number of possible outcomes. (the size of the sample space) (b) How many outcomes are possible with odd numbers appearing on each die? (c) What is the probability that both dice will show an odd number? (Round your answer to two decimal places.)
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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.)
Megha S.
Two six-sided dice are tossed. The sample space is given below. Round all answers to 3 decimal places. 1,1 2,1 3,1 4,1 5,1 6,1 1,2 2,2 3,2 4,2 5,2 6,2 1,3 2,3 3,3 4,3 5,3 6,3 1,4 2,4 3,4 4,4 5,4 6,4 1,5 2,5 3,5 4,5 5,5 6,5 1,6 2,6 3,6 4,6 5,6 6,6 (a) What is the probability of rolling a 3 on either dice? (b) What is the probability of rolling a 5 and 7? (c) What is the probability of rolling a 2 and an odd number (in either order)? (d) What is the probability of rolling two numbers whose sum is odd or a multiple of 3?
Adi S.
Two dice are rolled. Find the probabilities in parts b-e. Use the sample space given in Example 4.3 (p. 175 ). a. Why is the set $\{2,3,4, \ldots, 12\}$ not a useful sample space? b. $\quad P(\text { white die is an odd number })$ c. $\quad P(\text { sum is } 6)$ d. $P(\text { both dice show odd numbers })$ e. $\quad P($ number on black die is larger than number on white die)
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