there is a box of 20 munchkins that contains 5 jelly, 7 plain and 8 chocolate. Your friend chooses one and eats it. The you choose one and eat it
a. draw a tree diagram to shall ALL the different possible ways the experiment above could occur. Be sure to label the probability of each event occurring along the branched
b. What is the probability you other will the pick the same type of munchkin?
c. What is the probability you both eat a different munchkin?
Stacey Warren - Expert brainly.com
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so we can get either (JJ) OR ( PP) OR (CC)
let P= probability function
so P(XX) means the probability of getting XX
P(JJ) = (5/20) x ( 4/19)
P(PP) = (7/20) x (6/19 ) --> hopefully you dont get confused with this notation, prob should have thought ahead.
P(CC) = (8/20) x (7/19)
so for part b , you just add up all the probabilities above
\\Answer = [ (5/20) x (4/19) ] + [ (7/20) x (6/19) ] + [ (8/20) x (7/19) ]
then you can figure out on a calculator , I dont want to
now for part c . Note: COMPLEMENTARY events.
If they dont eat the same type , then they must have eaten different ones!
so the probability ( eating different ) = 1 - probability ( eating the same )
so the answer to part c is ( 1- (answer of b ) )
answer to b = 59/190
answer to c= 1 - ( 59/190) = 131/190