Question

Jesse randomly selects a letter from the word TRIAL. The probability of selecting the letter T each time is 15
or 20%. If the experiment is repeated 140 times, how many times will Jesse expect to select a T? Use the lesson notes as needed for help.

(2 points)
Responses

20 times
20 times

700 times
700 times

4 times
4 times

28 times

Answer 1

To find the expected number of times Jesse will select the letter T, we can use the formula for expected value:

\[
\text{Expected Value} = (\text{Probability of event}) \times (\text{Number of trials})
\]

In this case:
- The probability of selecting T is given as 20% (which is 0.20 in decimal form).
- The number of trials (or the number of times the experiment is repeated) is 140.

Now plug in the values:

\[
\text{Expected Value} = 0.20 \times 140
\]

Calculating this:

\[
\text{Expected Value} = 28
\]

Thus, Jesse would expect to select the letter T **28 times**.

The correct response is:

**28 times**