Question

Manny randomly selects a letter from the word CONNECTION. The probability of selecting the letter N each time is 310
or 30%. If the experiment is repeated 180 times, how many times will Manny expect to select a N? (1 point)
Responses

30 times
30 times

54 times
54 times

3 times
3 times

48 times

Answer 1

To find the expected number of times Manny will select the letter N when drawing 180 times, you can use the formula for expected value:

\[
\text{Expected Number} = \text{Total Trials} \times \text{Probability of Event}
\]

From the problem, we know:

- Total Trials = 180
- Probability of selecting N = 30% = 0.30

Now we can calculate:

\[
\text{Expected Number of N} = 180 \times 0.30 = 54
\]

So, Manny would expect to select the letter N approximately **54 times**.

The correct response is **54 times**.