Question

-5) Find the probability of drawing cards 2 through 3.​

Answer 1

Answer:

The probability of drawing a red card (hearts or diamonds) with numbers 2 through 10 on the first draw is 18/52 = 9/26. That's because there are 9 cards (numbers 2 through 10) in each red suit (2) for a total of 9 x 2 = 18 and there are 52 cards in the deck.

After replacing the card that was drawn the first time, there are 52 cards to choose from again.

A face card is a jack, queen or king in any of the 4 suits. So there are 3 x 4 = 12 face cards in a 52 card deck (aces are not considered face cards). The probability of drawing a face card is 12/52 = 3/13

A = event that a red 2 through 10 is selected on the first draw

B = event that a face card is selected on the second draw

The 2 draws (events) are independent, so:

P(A and B) = P(A) x P(B) = (9/26) x (3/13) = 0.07988 which rounds up to 0.08 or 8%

Answer 2

2/3 is the probability