Asked by Lilly
Hi there! I have been working on this problem for quite a while and I keep getting it wrong.
A deck is shuffled and three cards are dealt.
(a) Find the chance that the first card is a king. Give your answer as a fraction.
(b) Find the chance that the first card is a king, the second is a queen, and the third is a jack. Give your answer as a decimal rounded to four decimal places.
So I keep getting half the question right. I got 4/52 for part (a) and for part be I keep getting .0029 for part (b). I am pretty positive part (a) is correct, but now I don't understand part (b) and how I keep getting the answer wrong!
Thank you so much!
A deck is shuffled and three cards are dealt.
(a) Find the chance that the first card is a king. Give your answer as a fraction.
(b) Find the chance that the first card is a king, the second is a queen, and the third is a jack. Give your answer as a decimal rounded to four decimal places.
So I keep getting half the question right. I got 4/52 for part (a) and for part be I keep getting .0029 for part (b). I am pretty positive part (a) is correct, but now I don't understand part (b) and how I keep getting the answer wrong!
Thank you so much!
Answers
Answered by
Reiny
a) is correct, you were just concerned about the first card, the others didn't matter
b) Prob(first card is a king) = 4/52 = 1/13
then you want a queen, but one card is gone, so 4/51
and then a Jack ----> 4/50
prob(your event) = (1/13)(4/51)(4/50) = appr .0005
b) Prob(first card is a king) = 4/52 = 1/13
then you want a queen, but one card is gone, so 4/51
and then a Jack ----> 4/50
prob(your event) = (1/13)(4/51)(4/50) = appr .0005