There are 10 students in a class: 6 boys and 4 girls. if the teacher picks a group of 3 at random, what is the probability that everyone in the group is a boy?

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Step-by-step explanation:

It is given that,

Total number of students = 10

Number of boys = 6

Number of girls = 4

Total number of ways to select 3 students from 10 students.

Total number of ways to select 3 students from 6 boys.

The probability that everyone in the group is a boy is

Therefore, the required probability is 1/6.

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step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm