Six or Five

Joined
Jun 27, 2021
Messages
5,386
Reaction score
422
Two fair dice are thrown. What is the probability that the score on the first die is 6 or the score on the second die is 5?

I think these two events are not mutually exclusive.

Let S = 6

Let F = 5

P(S or F) = P(S or F) = P(S) + P(F) − P(S and F)

There is one 6 and one 5 per die.

P(S) = 1/6

P(F) = 1/6

P(S) + P(F) = 1/6 + 1/6

P(S and F) = 1/6 • 1/6

P(S or F) = 1/6 + 1/6 - 1/36

P(S or F) = 2/6 - 1/36

LCD = 36

P(S or F) = 12/36 - 1/36

P(S or F) = 11/36



 

Members online

No members online now.

Forum statistics

Threads
2,523
Messages
9,840
Members
695
Latest member
LWM
Back
Top