Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E = 'an odd number less than 9."P(E)=(Type an integer or a decimal. Do not round.)

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31-10-2022
Mathematics

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Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E = 'an odd number less than 9."P(E)=(Type an integer or a decimal. Do not round.)

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RateelJ32548 RateelJ32548 · Answer 1 · 2022-10-31T06:07:56-04:00

We have a sample space S = {1, 2, 3, 4, 5, 6, 7, 8 ,9, 10}.

Each outcome of this sample space is equally likely.

We have to compute the probability of the event E = 'an odd number less than 9'.

Then, event E happens when one of this outcomes happens: 1, 3, 5 or 7. That is 4 outcomes out of 10.

As all the outcomes are equally likely, the probability of event E will be the quotient between the number of success outcomes (4) and the number of total outcomes (10):

[tex]P(E)=\frac{4}{10}=0.4[/tex]

Answer: the probability of event E is P(E) = 0.4.