Afour-person committee is chosen from a group of eight boys and six girls. if students are chosen at random, what is the probability that the committee consists of all boys?

The probability that the committee consists of all boys is:

Step-by-step explanation:

Since a committee of four people is to be formed from a group of:

           8 boys and 6 girls.

This implies total number of people= 14.

Probability that the committee consist of all boys is calculated by taking the ratio of probability of selecting 4 boys from all boys and selecting 4 person from total number of person.

Hence, the probability is calculated by:

Now,

and

Hence, the probability is given by:

  Hence, the probability is:

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2