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ira [324]
3 years ago
5

We toss two dice 1,000 times. How many times do we expect to have the sum of the two dice equal to 4?

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0
Total possible outcomes = 36
Total possible outcomes with sum equal to 4 = 3
{1, 3} {2, 2}, (3, 1}

P(sum equal to 4) = 3/36 = 1/12

If you throw it 1000 times,
Number of times expected to have a sum of 4 = 1/12 x 1000 = 83 times

Answer: About 83 times
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Tysm

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3 years ago
Suppose that the functions r and s are defined for all real numbers x as follows.
mixas84 [53]
ANSWER

Given

r(x) = x - 1


and

s(x) = 3 {x}^{2}
ANSWER TO QUESTION 1

(r + s)(x) = r(x) + s(x)


(r + s)(x) = x - 1 + 3 {x}^{2}


(r + s)(x) =  3 {x}^{2}  + x - 1



ANSWER TO QUESTION 2



(r \times s)(x) = r(x) \times s(x)


(r \times s)(x) = (x - 1) \times 3 {x}^{2}


(r \times s)(x) = 3 {x}^{3}  - 3 {x}^{2}

ANSWER TO QUESTION 3

( r - s)(x) = r(x) - s(x)



( r - s)(x) = x - 1 - 3 {x}^{2}


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( r - s)( - 3) =   - 4 - 3  \times 9



( r - s)( - 3) =   - 4 - 27 =  - 31

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3 years ago
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