Question

From a pack of 52 cards, 3 cards are drawn at random (without replacement). The probability that they are two red cards and one black card, is_________​

Answer 1

$p(e) = \frac{favourable \: outcome}{ total \: number \: of \: o utcomes}$

favourable outcome = 8

because the outcomes are

• 3 redcards
• 3 black cards
• 2 black 1 red cards
• 2 red 1 black cards

those are

redcards=r black cards =b

• r,r,r
• b,b,b
• r,b,r
• b,r,b
• r,r,b
• b,r,r
• r,b,b
• b,b,r

probability=

$\frac{8}{52} = \frac{4}{26} = \frac{2}{13}$