SOLUTION: Find the probability of drawing a diamond card in each of the consecutive draws from a well shuffled pack of cards, if the card drawn is not replaced after the first draw. can any

Algebra ->  Probability-and-statistics -> SOLUTION: Find the probability of drawing a diamond card in each of the consecutive draws from a well shuffled pack of cards, if the card drawn is not replaced after the first draw. can any       Log On


   

Question 922885: Find the probability of drawing a diamond card in each of the consecutive draws from a well shuffled pack of cards, if the card drawn is not replaced after the first draw. can any one help me for getting detailed, step by step, precise and accurate answer for this problem ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 52 cards total.
13 of them are diamonds.
First draw : P%28D%29=13%2F52=1%2F4
Second draw : First card was not a diamond : P%28D%29=13%2F%2852-1%29=13%2F51
Second draw : First card was a diamond : P%28D%29=%2813-1%29%2F%2852-1%29=12%2F51=4%2F17
Third draw : First card not diamond, second not diamond : P%28D%29=13%2F50
Third draw : First card not diamond, second was diamond : P%28D%29=12%2F50=6%2F25
Third draw : First card was diamond, second not diamond : P%28D%29=12%2F50=6%2F25
Third draw : First card was diamond, second was diamond : P%28D%29=11%2F50
etc.