Question

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

The probability of given event =
`(1)/(15)`

Explanation:

Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper.

We have to find the probability of selecting a number less than 3 and then a number greater than 4.

Probability of an event =
`(number of favourable events)/(total number of events)`

The probability of selecting number less than 3 =
`(2)/(10)` =
`(1)/(5)`

The probability of selecting number greater than 4 =
`(3)/(9)` =
`(1)/(3)`

Total probability =
`(1)/(5)* (1)/(3)` =
`(1)/(15)`