Question

A deck contains these cards of the same size and shape.

• 5 green cards
4 red cards
2 orange cards
. 1 blue cards
Len will randomly select one card from the deck, not replace it, and then randomly select a second card. Which two fractions could be placed in the boxes to represent the probability he
will select a blue card and then a red card?

Answer 1

The probability of selecting a blue card and then a red card from a deck can be calculated by multiplying the probabilities of each event happening. In this case, the fractions 1/12 and 4/11 represent the probability of these events occurring.

Step-by-step explanation:

To find the probability that Len will select a blue card and then a red card, we need to determine the total number of outcomes and the number of favorable outcomes. In this case, there are 12 cards in the deck (5 green, 4 red, 2 orange, and 1 blue) and Len will select 2 cards without replacement. The probability of selecting a blue card on the first draw is 1/12, as there is 1 blue card out of 12 total cards. After the first draw, there are 11 cards remaining in the deck, with 4 red cards. The probability of selecting a red card on the second draw is 4/11. To calculate the probability of both events happening, we multiply the probabilities: 1/12 * 4/11 = 4/132. Therefore, the two fractions that could represent the probability are 1/12 and 4/11.