SOLUTION: If Carla and Hannah are the 1st two winners to choose prizes from a treasure box, what is the probability that they both will pick plastic spiders? The box contains 21 stickers, 2

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Question 601243: If Carla and Hannah are the 1st two winners to choose prizes from a treasure box, what is the probability that they both will pick plastic spiders? The box contains 21 stickers, 25 spiders, 3 key rings, and one $20 bill for a total of 50 prizes.
I think it's P(A X B) = Carla draws 1st which = 25/50 or 1/2
Hannah draws 2nd which = 25/49
answer = 25/98
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P(Both pick spiders) = P(Carla picks spider AND Hannah picks spider)


P(Both pick spiders) = P(Carla picks spider)*P(Hannah picks spider)


P(Both pick spiders) = (25/50)*(24/49)

Keep in mind that one person chooses a prize at a time. Once they've chosen a spider, this decreases the count of number of spiders. This is of course assuming that the prizes are NOT replaced.


P(Both pick spiders) = (1/2)*(24/49)


P(Both pick spiders) = 24/98


P(Both pick spiders) = 12/49