Question

A coin is tossed 80 times and 45 of those times it lands heads up. What is the experimental probability of flipping a head in the next toss?

• A. $P\left(Head\right)=\frac{7}{16}$
• B. $P\left(Head\right)=\frac{1}{2}$
• C. $P\left(Head\right)=\frac{9}{16}$
• D. $P\left(Head\right)=\frac{11}{16}$

Answer 1

The correct option is C $P\left(Head\right)=\frac{9}{16}$

In experimental probability, the next event's outcome is based on the outcomes of the previous event(s).
From the past outcomes, $P\left(Head\right)=\frac{45}{80}=\frac{9}{16}$
Hence, for the next toss, $P\left(Head\right)=\frac{9}{16}$