Question

NEED HELP ASAP! Thank you!

Ten slips of paper labeled from 1 to 5 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper.

What is the probability of selecting a number less than 3 then a number greater than 4?




3/50

1/15

3/100

1/10

Answer 1

OPTION D: 1/10

Explanation:

Five slips of paper labeled 1 to 5.

After the first slip is drawn, it is not replaced. So, the second draw is dependent on the first draw.

First Draw: Drawing a number less than 3.

{1, 2} are the possibilities.

Therefore, drawing {1, 2} from 5 slips =
`$ (2)/(5) $`.

Second Draw: Drawing a number more than 4.

There is only {5} which is greater than 4.

Therefore, drawing 5 from the remaining 4 slips =
`$ (1)/(4) $`.

Since, both the events happen, the probability is:

`$ (2)/(5) *  (1)/(4) $`

=
`$ (1)/(10) $` is the answer.