In a class of 30 boys and 25 girls, a team of 8 students is selected for a quiz competition. Among the selected students, one is chosen as the captain. What is the probability that the captain is a girl? radio_button_unchecked 5/11 radio_button_unchecked 6/11 radio_button_unchecked 5/8 radio_button_unchecked 3/8
Question
In a class of 30 boys and 25 girls, a team of 8 students is selected for a quiz competition. Among the selected students, one is chosen as the captain. What is the probability that the captain is a girl?
radio_button_unchecked 5/11
radio_button_unchecked 6/11
radio_button_unchecked 5/8
radio_button_unchecked 3/8
Solution
To solve this problem, we need to understand that the probability of an event is the ratio of the number of favorable outcomes to the number of possible outcomes.
Step 1: Calculate the total number of students in the class. This is the sum of the number of boys and girls, which is 30 boys + 25 girls = 55 students.
Step 2: The team of 8 students is already selected, so the total number of possible outcomes for choosing a captain is 8.
Step 3: We need to find the number of favorable outcomes, which is the number of girls in the team. We don't know exactly how many girls are in the team, but we know the maximum number of girls in the class is 25. So, the maximum number of favorable outcomes is 25.
Step 4: The probability that the captain is a girl is the ratio of the number of favorable outcomes to the number of possible outcomes. So, the maximum probability is 25/8. But this number is greater than 1 and probability cannot be greater than 1.
This means that the number of girls in the team is less than 25. Without knowing the exact number of girls in the team, we cannot calculate the exact probability. Therefore, we cannot answer this question with the information given.
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