Question

The following frequency table summarizes the number of children that dads in Dads Club have.

Based on this data, what is a reasonable estimate of the probability that the next dad to join Dads Club has fewer than 3 children?

Answer 1

Option: C is the correct answer.

C. 50%

Explanation:

Let P denotes the probability of an event.

and A denote the event that the next dad has fewer than 3 children.

From the table the total number of dads are: 6+4+8+1+1=20

The number of dad who have less than 3 children are: 6+4=10

Hence, we have

`P(A)=\frac{\text{Number\ of\ dad\ with\ less\ than\ 3\ children}}{\text{Total\ number\ of dad}}`

Hence, we have:

`P(A)=(10)/(20)=(1)/(2)`

which in percentage is given by:

`P(A)=50\%\\\\(Since,\\\\(1)/(2)* 100=50\%)`

Answer 2

C

Explanation:

Now there are 6+4+8+1+1=20 dads in the Dads Club.

Fewer than 3 children have

• 1 child - 6 dads
• 2 children - 4 dads.

So, 6+4=10 dads have fewer than 3 children.

The probability that the dad of Dads Club has fewer than 3 children is

`Pr=(10)/(20)=0.5 \text{ or } 50\%.`

The probability that the next dad to join Dads Club has fewer than 3 children is reasonable to be 50%.