In rolling a pair of six sided dice, where each die might land with between one and six spots on the upward face, there are 36 elementary events, as noted in the array below. We are interested in the outcome where at least one die shows a one or a six. What is the probability of that outcome? Die 1 Die 2 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) 5/9 1/3 4/9 2/3
In rolling a pair of six sided dice, where each die might land with between one and six spots on the upward face, there are 36 elementary events, as noted in the array below. We are interested in the outcome where at least one die shows a one or a six. What is the probability of that outcome? Die 1 Die 2 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) 5/9 1/3 4/9 2/3
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 7ECP: You draw one card at random from a standard deck of 52 playing cards. What is the probability that...
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In rolling a pair of six sided dice, where each die might land with between one and six spots on the upward face, there are 36 elementary events, as noted in the array below. We are interested in the outcome where at least one die shows a one or a six. What is the probability of that outcome?
Die 1 | ||||||
Die 2 | (1, 1) | (1, 2) | (1, 3) | (1, 4) | (1, 5) | (1, 6) |
(2, 1) | (2, 2) | (2, 3) | (2, 4) | (2, 5) | (2, 6) | |
(3, 1) | (3, 2) | (3, 3) | (3, 4) | (3, 5) | (3, 6) | |
(4, 1) | (4, 2) | (4, 3) | (4, 4) | (4, 5) | (4, 6) | |
(5, 1) | (5, 2) | (5, 3) | (5, 4) | (5, 5) | (5, 6) | |
(6, 1) | (6, 2) | (6, 3) | (6, 4) | (6, 5) | (6, 6) |
5/9
1/3
4/9
2/3
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