Question 932961: A die has faces that are numbered: 1, 1, 2, 2, 3, 6
(i) A game consists of throwing the die two times.
1. Draw a table to list the outcomes when the die is rolled twice the
two scores added to give a total score.
2. Calculate the probability that the total score on the two dice is:
I. 7,
II. greater than 5,
III. an even number,
IV. less than 4,
V. a multiple of 3.
(ii) Paul rolls a die 300 times. Using a Binomial model,
1. determine how many sixes would you expect him to obtain.
2. find the probability that he obtained 55 sixes.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website! __1_1_2_2_3_6
1|_2_2_3_3_4_7
1|_2_2_3_3_4_7
2|_3_3_4_4_5_8
2|_3_3_4_4_5_8
3|_4_4_5_5_6_9
6|_7_7_8_8_9_12
.....count them
P(sum = 7) = 4/36 = 1/9
P(sum > 5) = 12/36 = 1/3
P(sum < 4)
P(sum = a multiple of 3)
........
Paul rolls a die 300 times.
p(6) = 1/6
Exp 6s = (1/6)300 = 50
P(x = 55) = binompdf(300, 1/6, 55) = .0444 0r 4.44%
Using a TI calculator 0r similarly a Casio fx-115 ES plus
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