There are 10 cards in a basket—two of each numbered from 1 to 5. Two cards are randomly selected. The first card is replaced before the second card is selected. What is the probability that a 2 is drawn followed by a 4? Express your answer in lowest terms.

Answer 1

There are a total of 10 cards in the basket, so there are 2 ways to choose a card numbered 2 and 2 ways to choose a card numbered 4. Therefore, there are a total of 2 x 2 = 4 favorable outcomes.

There are a total of 10 cards, so there are 10 possible outcomes for the first card and 10 possible outcomes for the second card. Therefore, there are 10 x 10 = 100 possible outcomes.

The probability of drawing a 2 followed by a 4 is the number of favorable outcomes divided by the number of possible outcomes, which is 4/100 = 1/25.

Therefore, the probability that a 2 is drawn followed by a 4 is 1/25.