SOLUTION: I have a 'wizard deck' of cards. Total of 79 cards (44 black and 35 red). You draw a two card hand. What's the probability that you will draw AT MOST one red card. I found the prob

Question 452891: I have a 'wizard deck' of cards. Total of 79 cards (44 black and 35 red). You draw a two card hand. What's the probability that you will draw AT MOST one red card. I found the probability of getting one red card = 35/79 and the probability of getting one black = 44/78. And I multiplied so 1540/6162??? This is how I interpreted the question. Am I correct?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
It is equal to one minus the probability of drawing a hand with two red cards. This is because if you do not draw a red two-card hand, then you must have drawn a hand with 0 or 1 red cards.

Here, P(2 red cards) = (35/79)(34/78) = 595/3081. This implies P(0 or 1 red cards) = 1 - 595/3081 = 2486/3081.
RELATED QUESTIONS
In a standard deck of playing cards, there are 52 total cards. Half of the cards are red (answered by Edwin McCravy)

What are the solutions: After several rounds of a card game, a deck of playing cards... (answered by edjones)

Two cards are drawn in succession, without replacement, from a standard deck of 52 cards. (answered by scott8148)

You draw a two-card hand from a standard deck of 52 cards. What is the probability of... (answered by math_helper)

One card is selected at random from a deck of cards. Determine the probability that the... (answered by edjones)

A carnival game costs $3 to play. You draw 2 cards from a 12 card deck that has 4 red... (answered by Boreal)

If you remove all face cards from a standard deck of cards, what is the probability that... (answered by stanbon)

You draw two cards from a standard deck of cards (52 total cards), without replacing the... (answered by Fombitz,dkppathak)

You have a deck of cards (52 cards). You draw one card and you can sense it is a black... (answered by ewatrrr)