The probabilities that two students will not show up for class on a beautiful spring day are 0.1 and 0.3, respectively. It is a beautiful spring day. Find the following probabilities.
a.)Both will show up for class.
b.) Exactly one will show up for class.

Question

The probabilities that two students will not show up for class on a beautiful spring day are 0.1 and 0.3, respectively. It is a beautiful spring day. Find the following probabilities.
a.)Both will show up for class.
b.) Exactly one will show up for class.

shad0w · Answer

Hmm

turingtest · Answer

these events are presumably independent, so their intersection (the event that both happen) have a probability that is the product of the individual probabilites

turingtest · Answer

each probability and its compliment (the probability that it does not happen) must always sum to 1
P(student 1 shows up) + P(student 1 doesn't show up) = 1

turingtest · Answer

hence the probability that both show up is
P(student 1 shows up)*P(student 2 shows up)
=[1-P(student 1 doesn't show)]*[1-P(student 2 doesn't show)]

anonymous · Answer

Alright, Thank You for explaining the process to solving this problem =)

turingtest · Answer

welcome, do you have any insight into how to solve part b) ?

anonymous · Answer

Yes =) I'm currently working on it following these steps

turingtest · Answer

let me know if you need anther tip, god luck :)