SOLUTION: two cards are drawn from a deck of 7 cards numbered 1 through 7. once a card is drawn, it is not replaced. find the probability of drawing a 4 and then a 6.

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Question 195663: two cards are drawn from a deck of 7 cards numbered 1 through 7. once a card is drawn, it is not replaced. find the probability of drawing a 4 and then a 6.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P(drawing a 4) = 1/7

once a 4 is drawn (and not put back), there are 6 cards left. So

P(drawing a 6 next) = 1/6

So ...

P(drawing a 4 then a 6) = P(drawing a 4) * P(drawing a 6 next) = (1/7)*(1/6) = (1*1)/(7*6) = 1/42