Bronwyn used the spinner pictured below and recorded his results. He spun it 10 times and tallied up how many times he landed on each letter.
C - 2 times
L - 3 times
E - 1 time
A - 2 times
N - 2 times
His experimental probability of landing on the letter L is 310
3
10
.
Part 1: What is the theoretical probability of landing on the letter L if the spinner is spun 10 times?
(2 points)
Responses
310
3
10
3 tenths
110
1
10
1 tenth
210
2
10
2 tenths
510
5
10
5 tenths
The theoretical probability of landing on the letter L can be calculated by dividing the number of possible outcomes that result in landing on the letter L by the total number of possible outcomes.
In this case, the spinner has 5 letters and each letter has an equal chance of being landed on, so each letter has a 1/5 chance. Since we are spinning the spinner 10 times, the total number of possible outcomes is 5^10.
Therefore, the theoretical probability of landing on the letter L if the spinner is spun 10 times is 1/5 or 2 tenths.
So, the correct answer is: 210