Suppose that the probability of giving birth to a boy and the probability of giving birth to a girl are both 0.5. find the probability that in a family of seven children, the following occurs (a) all seven children are boys (b) there are two girls and five boys. (c) the youngest child is a girl (d) the oldest child is a girl. (a) the probability is (type an integer or a simplified fraction) (b) the probability is (type an integer or a simplified fraction.)

a)There is a 0.78% probability of all children being boys.

b) There is a 16.38% probability that there are two girls and five boys.

c) There is a 50% probability that the youngest child is a girl

d) There is a 50% probability that the oldest child is a girl

Step-by-step explanation:

Probability:

What you want to happen is the desired outcome.

Everything that can happen iis the total outcomes.

The probability is the division of the number of possible outcomes by the number of total outcomes.

In our problem, there is:

-50% probability of giving birth to a boy.

-50% probability of giving birth to a girl.

There are the following babies:

B1 - B2 - B3 - B4 - B5 - B6 - B7

(a) All seven children are boys

For each children there are a 50% probability of it being a boy. So:

There is a 0.78% probability of all children being boys.

(b) There are two girls and five boys.

There is a 50% probability that each children is a boy and 50% that each children is a girl.

We want five boys and two girls, so we have to permutate these probabilities. It is a permutation of 7 elements(all the children), with 5(boys) and 2(girls) repetitions. So:

There is a 16.38% that there are two girls and five boys.

(c) The youngest child is a girl

The probabilities are independent, so it is just the probability that B7 is a girl, that is 50%.

(d) The oldest child is a girl

Same as (c), just that the child is B1. The probability of B1 being a girl is 50%.

3; 9 is 8 to -4

step-by-step explanation:

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies