To solve this problem, we first need to calculate the total number of ways to select 2 persons out of 13, which is a combination problem. The formula for combination is C(n, r) = n! / [r!(n-r)!], where n is the total number of items, r is the number of items to choose, and "!" denotes factorial.

Step 1: Calculate total combinations
The total number of ways to select 2 persons out of 13 is C(13, 2) = 13! / [2!(13-2)!] = 78.

Step 2: Calculate combinations without women
The number of ways to select 2 persons out of 8 men is C(8, 2) = 8! / [2!(8-2)!] = 28.

Step 3: Calculate probability of selecting at least one woman
The number of ways to select 2 persons with at least one woman is the total combinations minus the combinations without women. So, it's 78 - 28 = 50.

Step 4: Calculate the probability
The probability is the number of favorable outcomes divided by the total number of outcomes. So, the probability that at least one of the selected persons will be a woman is 50/78 = 25/39.

So, the correct answer is 25/39.

Question

To solve this problem, we first need to calculate the total number of ways to select 2 persons out of 13, which is a combination problem. The formula for combination is C(n, r) = n! / [r!(n-r)!], where n is the total number of items, r is the number of items to choose, and "!" denotes factorial.

Step 1: Calculate total combinations
The total number of ways to select 2 persons out of 13 is C(13, 2) = 13! / [2!(13-2)!] = 78.

Step 2: Calculate combinations without women
The number of ways to select 2 persons out of 8 men is C(8, 2) = 8! / [2!(8-2)!] = 28.

Step 3: Calculate probability of selecting at least one woman
The number of ways to select 2 persons with at least one woman is the total combinations minus the combinations without women. So, it's 78 - 28 = 50.

Step 4: Calculate the probability
The probability is the number of favorable outcomes divided by the total number of outcomes. So, the probability that at least one of the selected persons will be a woman is 50/78 = 25/39.

So, the correct answer is 25/39.

Knowee AI · Accepted Answer

To solve this problem, we first need to calculate the total number of ways to select 2 persons out of 13, which is a combination problem. The formula for combination is C(n, r) = n! / [r!(n-r)!], where n is the total number of items, r is the number of items to choose, and "!" denotes factorial.

Step 1: Calculate total combinations
The total number of ways to select 2 persons out of 13 is C(13, 2) = 13! / [2!(13-2)!] = 78.

Step 2: Calculate combinations without women
The number of ways to select 2 persons out of 8 men is C(8, 2) = 8! / [2!(8-2)!] = 28.

Step 3: Calculate probability of selecting at least one woman
The number of ways to select 2 persons with at least one woman is the total combinations minus the combinations without women. So, it's 78 - 28 = 50.

Step 4: Calculate the probability
The probability is the number of favorable outcomes divided by the total number of outcomes. So, the probability that at least one of the selected persons will be a woman is 50/78 = 25/39.

So, the correct answer is 25/39.

Select the correct answerOut of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that at least one of the selected persons will be a woman is:Options25/6931/6525/395/13

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