Twenty cards are numbered 1-20. You draw a card. Without replacing it, you draw a second card. Find the probability that the first card will be an even number and the second card drawn will be an even number.

Question

Bytelearn · Accepted Answer

Determine total even cards: Determine the total number of even cards in the deck. There are 10 even numbers between 1 and 20 (2, 4, 6, 8, 10, 12, 14, 16, 18, 20).Calculate first draw probability: Calculate the probability of drawing an even card on the first draw. Since there are 20 cards in total and 10 are even, the probability is 10/20 or 1/2.Calculate second draw probability: Calculate the probability of drawing an even card on the second draw without replacement. After drawing one even card, there are now 9 even cards left and 19 cards in total. The probability for the second draw is therefore 9/19.Multiply probabilities: Multiply the probabilities of the two independent events to find the combined probability. The probability of both events occurring is (1/2) * (9/19).Find final probability: Perform the multiplication to find the final probability. (1/2) * (9/19) = 9/38.

Twenty cards are numbered $1-20$ . You draw a card. Without replacing it, you draw a second card. Find the probability that the first card will be an even number and the second card drawn will be an even number.

Full solution

More problems from Add and subtract integers: word problems

Related topics

Twenty cards are numbered 1−20 1-20 1−20. You draw a card. Without replacing it, you draw a second card. Find the probability that the first card will be an even number and the second card drawn will be an even number.

Twenty cards are numbered $1-20$ . You draw a card. Without replacing it, you draw a second card. Find the probability that the first card will be an even number and the second card drawn will be an even number.