A hat contains 10 pieces of paper numbered from - to 10. Find the probability
of each pair of events occurring as described.
a. You randomly choose the number 1, you replace the number, and then
you
randomly choose the number 10.
b. You randomly choose the number 5, you do not replace the number, and
then you randomly choose the number 6.

Respuesta :

Using it's concept, it is found that the probabilities of each outcome are given by:

a) 0.01 = 1%.

b) 0.0111 = 1.11%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

The number is replaced, hence for each trial there are 10 outcomes, and the probability of each is of 1/10, hence:

[tex]p = \frac{1}{10} \times \frac{1}{10} = \frac{1}{100} = 0.01[/tex]

Item b:

Not replaced, hence for the second trial the probability is of 1/9, hence:

[tex]p = \frac{1}{10} \times \frac{1}{9} = \frac{1}{9} = 0.0111[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

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