Compare the probability of the spinner landing on 1, 2, or 3. Enter the answer as a percent rounded to the nearest whole number.
a wheel showing four 2's, six 1's, and two 3's
(3 points)
P(1) =
%
P(2) =
%
P(3) =
%
In this case, since there are four 2's, six 1's, and two 3's, we can calculate the probability of each outcome:
P(1) = 6/12 = 0.5 or 50%
P(2) = 4/12 = 0.33 or 33%
P(3) = 2/12 = 0.17 or 17%
The experimental probability of a simple event is P(event) = number of times an event occurstotal number of trials
EXAMPLE: The following line plot shows the students’ birthdays in a class. Compare the theoretical and experimental probability.
Based on the data from the class, experimental P(Tuesday) = 525=15=0.2=20%
Because there are 7 days in a week, theoretical P(Tuesday) = 17=0.14=14%
Please complete the following question:
In experiment, a coin is flipped 30 times and the results are
{H, H, H, T, T, T, T, H, T, H, H, T, H, H, H, T, T, H, H, H, T, H, T, T, H, T, H, H, H, H}.
Heads: 18
Tails: 12
(2 points)
Round your answer to the tenth place (one digit).
Determine the experimental P(head) =
.
Determine the theoretical P(head) =
.
To determine the experimental and theoretical probabilities of getting a head when flipping a coin, we first calculate the number of trials and the number of times a head occurs.
In the given experiment:
- Number of trials = 30
- Number of heads = 18
- Number of tails = 12
Experimental P(head) = Number of heads / Total number of trials
Experimental P(head) = 18 / 30
Experimental P(head) = 0.6 or 60%
Theoretical P(head) = Number of favorable outcomes / Total number of possible outcomes
Theoretical P(head) = 1 (since there is only one head on a coin) / 2 (since there are two possible outcomes - head or tail)
Theoretical P(head) = 0.5 or 50%
Therefore, the answers are:
Experimental P(head) = 0.6 or 60%
Theoretical P(head) = 0.5 or 50%