a die is rolled repeatedly and the total number of times fre

a die is rolled repeatedly and the total number of times (frequency) each face occurs is recorded. The resules are as follows:

a) complete the table to find a probability distribution for each side of the die to turn up on a single roll.

b) what is the probability that a die comes up even?

c) find the probability that the die shows a number greater than 4.

d) find the probability that the die does not come up 1.

e) the odds the probability does not come up 1.

Solution

a)

Here, there are 1000 rolls. Thus, to get the probabilities, we divide the frequencies by 1000:

b)

P(even) =P(2) + P(4) + P(6) = 0.168 + 0.103 + 0.147 = 0.418 [ANSWER]

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c)

P(greater than 4) = P(5) + P(6) = 0.165 + 0.147 = 0.312 [ANSWER]

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D)

P(not 1) = 1 - P(1) = 1 - 0.237 = 0.763 [ANSWER]

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e)

odds = P(not 1) / P(1) = 0.763/0.237 = 3.219409283 [ANSWER]