A family has four children, of age 3, 6, and 16 and 16 . Let’s assume that the probability of giving birth to a boy is the same as the probability of giving birth to a girl. Determine the following probabilities:
(a) that all 4 children are girls
(b) that at least two of the children are boys
(c) that the oldest child is a girl
(d) that only three children are of the same gender
(e) Given that you know that at least one child is a girl, what is the probability that the other three children are boys? TIP: This is a conditional probability question, where we are asking for P(BBB|G), where B and G stand for boy and girl, respectively.
A family has four children, of age 3, 6, and 16 and 16 . Let’s assume...
(3. 3.) What is the probability that a family with 4 children has: (Use tree diagrams) What is the probability that a family with 4 children has: (Use tree diagrams) a. 3 boys and a girl b. 3 girls then a boy c. at least 1 boy
Assume that the probability of a boy being born is the same as the probability of a girl being born.(a) Find the probability that for family with four children, the two oldest children are girls.(b) Find the probability that for family with four children, exactly two of the children are boys.(c) Find the probability that for family with four children, at least two of the children are boys.
A young couple falls in love and decides to marry and start a family. Assume that with each birth, they are equally like to have a boy or girl child - and only one at a time (no twins or other multiple births). They decide to keep having children until they have one girl. 5. a. On average, how many children will be born to this family? b. If there are no girls in the first two births, what is...
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- pendently of the gender distribution of the other children in the family. For a couple having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. e) There is at least 1...
1. There are eight simple events that are possible when a couple has three children, where b= boy and g= girl. The combinations possible are: bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there is exactly 1 girl. Express your answer as either a fraction or decimal. 2. Using the same sample as...
A couple has two children and the oldest child is a boy. If the probabilities of having a boy or girl are both equal what is the probability that the couple has 2 boys
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. (e) There is at least 1 girl. 3. In a bolt factory machines A, B, C manifacture, respectively 25, 35 and...
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of girls is recorded. (Assume an equal chance of a boy or girl for each birth) Complete the probability distribution. P(x) (Type an integer or a simplified fraction )
Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution A family has three children and the number of...
In a family of 3 children, assume that the probability of a boy birth is 1/2. The probability of no boy in the family is? In a family of 3 children, assume that the probability of a boy birth is 1/2. The expected number of boys born is?
A family has three children. Every child was born to be a boy or girl with 50% chance. The probability of this family having at least one boy is?