Answer:
Step-by-step 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).
⇒[tex]P(x<11)=1- P(x>=11)[/tex]
⇒[tex]P(x<11)=1-P(x=11,12)[/tex]
[tex]P(x<11)=1-\frac{Possible outcomes}{Total outcomes}[/tex]
Possible outcomes(11,12)=2
Total outcomes=12
[tex]P(x<11)=1-\frac{2}{12}[/tex]
⇒[tex]P(x<11)=\frac{5}{6}[/tex]
