Two cards are drawn from a standard deck of 52 cards. What is the probability of drawing 2 queens or 2 red cards?
(4/52)(3/51)=1/221 ---drawing a queen
(26/52)(25/51)=25/102--drawing a red card
(1/221)(25/102)= 25/22542 drawing a queen or red card
Is this correct??
Thanks for your help
No. You need to find the OR probability, a little tricker. And remember two queens are red...
I cant do it better than this. Study it.
http://en.allexperts.com/q/Basic-Math-657/Probability-5.htm
Yes, your approach is correct.
To calculate the probability of drawing 2 queens, you correctly identified that there are 4 queens in a standard deck of 52 cards. So, the probability of drawing a queen on the first draw is 4/52. After one card has been drawn, there are now 51 cards remaining in the deck, with 3 queens still remaining. Therefore, the probability of drawing a queen on the second draw is 3/51.
To calculate the probability of drawing 2 red cards, you correctly identified that there are 26 red cards in a standard deck of 52 cards. So, the probability of drawing a red card on the first draw is 26/52. After one card has been drawn, there are now 51 cards remaining in the deck, with 25 red cards still remaining. Therefore, the probability of drawing a red card on the second draw is 25/51.
To find the probability of either of these events happening, you multiply the probabilities together, as you did: (4/52)(3/51) = 1/221 for drawing 2 queens, and (26/52)(25/51) = 25/102 for drawing 2 red cards.
To find the probability of drawing 2 queens or 2 red cards, you multiply the probabilities of these individual events happening together: (1/221)(25/102) = 25/22542.
Therefore, the correct probability of drawing either 2 queens or 2 red cards from a standard deck of 52 cards is indeed 25/22542.