Select the correct answerThere are 7 children. You are told that the youngest child is a boy. The probability that all of them are boys is 1 inradio_button_unchecked64radio_button_unchecked21radio_button_unchecked2radio_button_unchecked128
Question
Select the correct answerThere are 7 children. You are told that the youngest child is a boy. The probability that all of them are boys is 1 inradio_button_unchecked64radio_button_unchecked21radio_button_unchecked2radio_button_unchecked128
Solution
The correct answer is 1 in 64.
Here's why:
The gender of each child is independent of the gender of the other children. Therefore, for each child, there is a 1 in 2 chance that the child is a boy (assuming equal probability for a child being a boy or a girl).
Since you are told that the youngest child is a boy, you are left with determining the gender of the remaining 6 children.
So, the probability that all of them are boys is (1/2)^6 = 1/64.
Similar Questions
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
A science class has 5 girls and 5 boys in the seventh grade and 3 girls and 1 boy in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys?Write your answer as a fraction in simplest form.
Select the correct answerThe names of 5 students from section A, 6 from section B and 7 students from section C were selected. The age of all the 18 students was different. Again, one name was selected from them and it was found that it was of section B. What was the probability that it was the youngest student of the section B?Options1/61/151/181/12
You have recently got married and you plan to have 4 children. If the probability that a child is a boy is 0.5, what is the probability that you will have exactly 3 boys?
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.