There are 5 yellow cards, 4 red cards, and 1 purple card. He draws a card at random, replaces it, and draws a second card. What is the probability that both cards will be red?
The probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
P of red = 4/10
4/10 * 4/10 = ?
To find the probability of drawing two red cards, we first need to determine the total number of possible outcomes.
Since the first card is drawn and then replaced before drawing the second card, both draws are independent events. This means that the number of red cards remains the same for each draw.
There are a total of 5 yellow cards, 4 red cards, and 1 purple card, making a total of 10 cards in the deck.
The probability of drawing a red card on the first draw is 4/10 because there are 4 red cards out of the total 10 cards.
Since the card is replaced back into the deck, the probability of drawing a red card on the second draw is also 4/10.
To find the probability of both events occurring, we need to multiply the individual probabilities together:
(4/10) * (4/10) = 16/100 = 0.16
Therefore, the probability of drawing two red cards is 0.16 or 16%.