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A box contains 300 envelopes, of which 50 contain $100 in cash, 125 contain $25,

ID: 2883728 • Letter: A

Question

A box contains 300 envelopes, of which 50 contain $100 in cash, 125 contain $25, and 125 contain envelope may be purchased What is the sample space for the different amounts of money? Assign probabilities to the sample points and then find the envelope purchased contains less than $100. probability that the first Find the sample space and the weights of the sample points. Select the correct answer below and fill in the answer boxes to complete your choice. mype integers or simplified fractions) o A. s. (s25, $100 with weights and respectively o B. s (s10, s25) with weights and respectively. O c. s (-s15, so, s25) with weights and respectively. o D. S s10. $25, $100) with weights and respectively.

Explanation / Answer

A : sum > 7
B : 5 on either die
C : >3 on green

A:
sum > 7
Sum can be 8,9,10,11,12

The possibilities include :
2,6
6,2
3,5
5,3
4,4
3,6
6,3
4,5
5,4
4,6
6,4
5,5
5,6
6,5
6,6

So, 5+4+3+2+1 = 15 possibilities
out of 36

So, P(A) = 15/36 =

P(A) = 5/12 ---> ANSWER

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b) P(B) :
5 on either die
5,1
5,2
5,3
5,4
5,5
5,6
1,5
2,5
3,5
4,5
6,5

11 out of 36

11/36 ----> ANSWER

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P(C) :
>3 on green die
So, on green die, we can have either 4,5 or 6
out of 1,2,3,4,5,6

So P(C) = 3/6 = 1/2 ----> ANSWER

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