Eileen has a bottle cap that is bent. When she tosses the bottle cap it can land either facing up (U) or facing down (D). The table below shows the results for the last $20$ tosses that Eileen has made.

The table has 20 columns and 2 rows. From top to bottom, the row headings read, toss, result. The first row goes from Toss 1 to Toss 20. The second row reads, U, U, U, U, D, U, D, D, U, U, U, D, U, U, D, U, U, D, U, U.

Based on the last $20$ tosses, what is the estimated probability that Eileen’s next toss will land facing up (U)?
Responses

A $\frac{3}{10}$
3 tenths

B $\frac{3}{7}$
3 sevenths

C $\frac{1}{2}$
1 half

D $\frac{7}{10}$
7 tenths

1 answer

To find the estimated probability that Eileen's next toss will land facing up (U), we count the number of U's in the last 20 tosses and divide by 20.

There are 13 U's in the last 20 tosses.

Therefore, the estimated probability is $\frac{13}{20} = \frac{13}{20} = \frac{7}{10}$.

So, the answer is $\boxed{\text{(D) } \frac{7}{10}}$.