SOLUTION: Three cards are drawn one at a time from a standard deck without replacement. Find the probability that:
(answers in fractions)
a) all are jacks
b) all are clubs
c) all
Algebra.Com
Question 1136111: Three cards are drawn one at a time from a standard deck without replacement. Find the probability that:
(answers in fractions)
a) all are jacks
b) all are clubs
c) all are red cards
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
a) There are four jacks in the deck
Pr 1st draw is a jack: (4/52)
Pr 2nd draw is a jack: (3/51) (3 of the remaining 51 cards are jacks)
Pr 3rd draw is a jack: (2/50)
Pr (all three are jacks) = (4/52)(3/51)(2/50) = (1/13)(1/17)(1/25) =
b) There are 13 clubs, follow the same logic as above, 13/52, 12/51, etc...
c) There are 26 red cards, follow the same logic as above.
The more effort you put in, the deeper the learning.
RELATED QUESTIONS
Three cards are drawn at random in succession, without replacement, from a standard deck... (answered by htmentor)
Find the probability that three face cards are drawn in three successive draws (without... (answered by math_helper)
6 cards are drawn from a standard deck without replacement. What is the probability that (answered by stanbon)
If three cards are drawn, without replacement, from a standard deck of cards, what is the (answered by Fombitz)
Five cards are drawn from a standard deck without replacement. What is the probability... (answered by greenestamps)
Can you solve this? And explain how?
Three cards are drawn at random without... (answered by swincher4391)
three cards are drawn in succession from a deck without replacement. Find the probability (answered by stanbon)
Five cards are drawn without replacement from a standard 52 card deck. Find the... (answered by stanbon)
Two cards are drawn in succession from a standard 52 card deck. What is the probability... (answered by Fombitz,mark_henrhiz)