Question

For the two problems consider the situation: There were 60 other people at an event you attended.You found out later that five of them have a contagious pathogen that transfers by bro-hugging. Youprefer not to bro-hug people, and upon reflection, you avoided doing it with all but four differentpeople.What is the probability that your fourth bro-hug was with someone contagious?1)2/572)5/603)4/604)1/4

Answer 1

Let N represent not infected and I represent infected.

Then the possibilities are

I I I I

N I I I

N N I I

N N N I

I I I I represents the possibility that all teh four bro hug was with someone contagious

The probability that all four hugs are with the infected is given by

`(5)/(60)*(4)/(59)*(3)/(58)*(2)/(57)=(1)/(97527)`

N I I I represents the possibility that only three of the four bro hug was with someone infected

The only three of the four bro hug was with someone infected is given by

`(5)/(60)*(4)/(59)*(3)/(58)*(2)/(57)=(1)/(97527)`