Score: 15/40 7/20 answered - Question 4 Suppose a jar contains 5 red marbles and 23 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red. Question Help: Video Message instructor Calculator Submit Question Jump to Answer

Step 1 ：Suppose a jar contains 5 red marbles and 23 blue marbles.

Step 2 ：If you reach in the jar and pull out 2 marbles at random at the same time, we need to find the probability that both are red.

Step 3 ：The total number of marbles in the jar is 28.

Step 4 ：The probability of drawing a red marble on the first draw is given by the ratio of the number of red marbles to the total number of marbles, which is \( \frac{5}{28} = 0.17857142857142858 \).

Step 5 ：After the first draw, the number of red marbles decreases by 1 to 4, and the total number of marbles decreases by 1 to 27.

Step 6 ：The probability of drawing a red marble on the second draw is then \( \frac{4}{27} = 0.14814814814814814 \).

Step 7 ：The probability of drawing 2 red marbles is the product of the probability of drawing a red marble on the first draw and the probability of drawing a red marble on the second draw, which is \( 0.17857142857142858 \times 0.14814814814814814 = 0.026455026455026454 \).

Step 8 ：\(\boxed{0.026455026455026454}\) is the final answer, which is the probability that both marbles drawn are red.