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.&q…

Question

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.)

Answer 1

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):

`P(E)=(4)/(10)=0.4`

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