Question

If two students are selected at random, what is the probability that both of them will be spending break with friends outside of New England? Note that you cannot select the same person twice. SHOW WORK.

a) 3/50
b) 5/50
c) 5/100
d) 3/100

Answer 1

The probability that both students will be spending break with friends outside of New England is 2/245.

Step-by-step explanation:

To find the probability that both students will be spending break with friends outside of New England, we need to know the total number of students and the number of students spending break with friends outside of New England. Let's say there are a total of 50 students and 5 of them are spending break with friends outside of New England.

The probability of selecting the first student who is spending break with friends outside of New England is 5/50. After selecting the first student, there are 49 students left, with 4 of them spending break with friends outside of New England. So, the probability of selecting the second student who is also spending break with friends outside of New England is 4/49.

To find the probability of both events happening, we multiply the individual probabilities: (5/50) * (4/49) = 20/2450 = 2/245.

Therefore, the probability that both students will be spending break with friends outside of New England is 2/245.