SOLUTION: I have to create a Joint Probability Table for the following, and then answer questions below. But, I don't know which numbers to add together to get the probability percentages

Question 886947: I have to create a Joint Probability Table for the following, and then answer questions below. But, I don't know which numbers to add together to get the probability percentages to go on the Joint Probability Table. How do I calculate the percentages?

GRADE------YES------NO------TOTAL
3----------56-------12-------68
4----------65--------7-------72
5----------52--------8-------60
Totals----173-------27------200
If the child is in 3rd grade, what is possibility they passed the exam?
(Is the answer 56/200 = .38? That is what I calculated.
If the child passed the exam, what is the probability they are in the 3rd grade? (got 56/173 = .32. Is that right?) Please help and Thank you!!

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
If the child is in 3rd grade, then probability that the child passed is
Pr = 56/68 = 0.82
If the child passed the exam, what is the probability they are in the 3rd grade?
Pr = 56/173 = 0.32

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