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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?

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 class=

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Answer:

C

Step-by-step 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

[tex]Pr=\dfrac{10}{20}=0.5 \text{ or } 50\%.[/tex]

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

Answer:

Option: C is the correct answer.

           C.  50%

Step-by-step 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

[tex]P(A)=\dfrac{\text{Number\ of\ dad\ with\ less\ than\ 3\ children}}{\text{Total\ number\ of dad}}[/tex]

Hence, we have:

[tex]P(A)=\dfrac{10}{20}=\dfrac{1}{2}[/tex]

which in percentage is given by:

     [tex]P(A)=50\%\\\\(Since,\\\\\dfrac{1}{2}\times 100=50\%)[/tex]

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