The experimental and theoretical probabilities for the given experiment are:
- i) P = 0.16
- ii) P = 0.167
- iii) P = 0.84
- iv) P = 0.833
- v) P = 0.2
How to get the different probabilities?
i) The experimental probability of rolling a 2 is equal to the quotient between the number of times that the outcome was a 2 and the total number of times that the number cube was rolled, so the probability is:
P = 8/50 = 0.16
ii) The theoretical probability assumes that all the numbers (6) have the same probability of rolling up.
Then all the numbers have a probability of 1/6.
This means that the theoretical probability of rolling a 2 is:
P(2) = 1/6 = 0.167
iii) The experimental probability of NOT rolling a 2 is computed in a similar way than the first one, if out of 50 rolls, in 8 we rolled a 2, then in 42 we did not rolled a 2.
So the probability is:
P = 42/50 = 0.84
iv) The theoretical probability of not rolling a 2 is equal to 1 minus the theoretical probability of rolling a 2.
P = 1 - 1/6 = 5/6 = 0.833...
v) For the experimental probability of getting a 1, we see that out of 50 rolls, in 10 we rolled a 1, so the probability is:
P = 10/50 = 1/5 = 0.2
If you want to learn more about probability, you can read:
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