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A pair of dice are rolled? 1,000 times with the following frequencies of? outcomes: Sum 2 3 4 5 6 7 8 9 10 11 12 Frequency 10    30    50...

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Basic Math

A pair of dice are rolled? 1,000 times with the followingfrequencies of? outcomes:

Sum

2

3

4

5

6

7

8

9

10

11

12

Frequency

10   

30   

50   

70   

110  

150   

170   

140

120   

80

70   

Use these frequencies to calculate the approximate empiricalprobabilities and odds for the events a. The sum is less than 3 orgreater than 9.

b. The sum is even or exactly divisible by 5.

a. Probabilityequals = ___???

?(Type a? decimal.)

Odds for = ____??

?(Type a fraction. Simplify your? answer.)

b. Probabilityequals = ___???

?(Type a? decimal.)

Odds for = ____??

?(Type a fraction. Simplify your? answer.)

Answer & Explanation Solved by verified expert
3.8 Ratings (713 Votes)

a) P(sum is less than 3 or greater than 9) = P(2) + P(10) + P(11) + P(12)

                                                                  = 10/1000 + 120/1000 + 80/1000 + 70/1000

                                                                  = 280/1000

                                                                  = 7/25

                                                                  = 0.28

Odds for = (7/25) / (1 - 7/25) = 7/18

b) P(sum is even of divisible by 5) = P(2) + P(4) + P(5) + P(6) + P(8) + P(10) + P(12)

                                                       = 10/1000 + 50/1000 + 70/1000 + 110/1000 + 170/1000 + 120/1000 + 70/1000

                                                       = 3/5

                                                       = 0.6

Odds for = (3/5) / (1 - 3/5) = 3/2
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