Question

Apple contain six apples three oranges and five pairs with five pieces of fruit are drawn without replacement what is the probability of picking exactly 4 pairs

Answer 1

To find the probability of picking exactly 4 pairs out of 5 fruit, we can use the hypergeometric probability formula. Given that there are 6 apples, 3 oranges, and 5 pairs, the probability is approximately 0.0225 or 2.25%.

Step-by-step explanation:

To solve this problem, we can use the concept of probability. There are 14 pieces of fruit in total: 6 apples, 3 oranges, and 5 pairs. We need to find the probability of picking exactly 4 pairs out of 5 fruit. We will use the formula for hypergeometric probability.

Hypergeometric probability = (Number of ways to choose 4 pairs) * (Number of ways to choose 1 fruit that is not a pair) / (Total number of ways to choose 5 fruit)

Using the formula and the given information, the probability is calculated as follows:

Hypergeometric probability = (5 choose 4) * (9 choose 1) / (14 choose 5) = 5 * 9 / 2002 = 45 / 2002 ≈ 0.0225

So, the probability of picking exactly 4 pairs is approximately 0.0225 or 2.25%.