Two numbers are selected randomly from the set `S={1,2,3,4,5,6}` without replacement one by one. The probability that minimum of the two numbers is less than 4 is `1//15` b. `14//15` c. `1//5` d. `4//5`

Options

A. `1//15`
B. `14//15`
C. `1//5`
D. `4//5`

Answer

D

Explanation

Here, two numbers are selected from {1,2,3,4,5,6}
`impliesn(S)=6xx5`{as onne by one without replacement}
Favourable cases,

There are 12 ways but the numbers may be interchanged.
`thereforen(E)=2xx12=24`
`therefore` Required probability`=(n(E))/(n(S))=(24)/(30)`
`=(4)/(5)`