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3 years ago

bella rolls 2 standard dice 60 times. how many times can she expect the sum of the numbers to be greater than 10?

Mathematics

1 answer:

iris [78.8K]3 years ago

6 0

Answer: in 5.

Step-by-step explanation:

The summ is greater when:

D1 = 5, D2 = 6

D1 = 6, D2 = 5

D1 = 6, D2 = 6

3 outcomes out of the 36 possible outcomes (6 for each dice, 6*6 = 36) for rolling 2 dice,

The relative probability is:

p = 3/36

Then, in 60 rolls, we can expect that:

(3/36)*60 = 5

In 5 rolls the sum of the numbers is greater than 10.

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(b) The probability to find the particle between x = 1.95 nm and 2.05 nm is:

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(c) The probability to find the particle between x = 9.90 nm and 10.00 nm is:

$P=\frac{2}{100} [\frac{X}{2} - \frac{Sin(2\pi x/100)}{4\pi /100}]|_{9.90}^{10.00} = 1.89 \cdot 10^{-4}$

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I hope it helps you!

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