Question

a 12 sided dice is rolled the set of eagles likely outcomes is one two three four five six seven eight nine 10 11 12 find the probability of rolling a number less than 11

Answer 1

`(5)/(6)` is the probability.

Explanation:

It is given that there is a 12-sided dice which on rolling can give all outcomes from 1 to 12, which are 12 possibilities.

We have to find probability of rolling a number less than 11.

Probability of rolling a number less than 11=

1-(Probability of rolling a number greater than equal to 11).

⇒
`P(x<11)=1- P(x>=11)`

⇒
`P(x<11)=1-P(x=11,12)`

`P(x<11)=1-(Possible outcomes)/(Total outcomes)`

Possible outcomes(11,12)=2

Total outcomes=12

`P(x<11)=1-(2)/(12)`

⇒
`P(x<11)=(5)/(6)`