Answered

A band leader randomly selects 2 students out of 100 band members. If you and your brother are band members, what is the probability that you are both


selected?

A1/2500
B1/9900
C1/4950
D2/100

need right now please

Verified Answer :

AL2006

That probability is 1/4950 .

facundo3141592

Answer: Hello mate!

There are 100 students, and each one has the same probability of being selected, which is 1/100

The chances that the band leader selects you is 1/100

now the chances that the band leader selects your brother is one over the total number of people in the band, but you have already been selected, so there are 99 people right now in the band, this probability is of 1/99.

The joint probability of both events is the product of the probabilities, this is:

P = (1/100)*(1/99) = 1/9900

But there is also the chance where your brother is picked first and you second, which also has a probability of 1/9900.

Then the total probability of you and your brother to being selected is:

P = 1/9900 + 1/9900 = 2/9900 = 1/4950

te right option is option C.