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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
The probability that the next dad to join Dads Club has fewer than 3 children is reasonable to be 50%.
By definition, we have
So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:
Suppose that
In this case, the absolute value doesn't do anything: the equation is
We are supposing , so we can accept this solution.
Now, suppose that . Now the sign of the expression is flipped by the absolute value, and the equation becomes
Again, the solution is coherent with the assumption, so we can accept this value as well.