Question

Is this correct?
A six-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times.
The experimental probability of rolling a 3 is ? %, which is approximately ? % more than its theoretical probability. Round off your answers
The probability of rolling a 3 is 30 %
which is approximately 30 % more than its theoretical probability.

Answer 1

18/60=30

Answer 2

@Michele_Laino can you help me please

Answer 3

I think that the experimental probability, is given by the subsequent formula:
\[probability = \frac{{favorable\;cases}}{{possible\;cases}} = \frac{{6 + 5 + 7}}{{10 + 10 + 10}} = ...?\]

Answer 4

oops...
\[probability = \frac{{favorable\;cases}}{{possible\;cases}} = \frac{{6 + 5 + 7}}{{20 + 20 + 20}} = ...?\]

Answer 5

more precisely, since we have rolled our die four rounds, then the right formula is:
\[probability = \frac{{favorable\;cases}}{{possible\;cases}} = \frac{{6 + 6 + 5 + 7}}{{20 + 20 + 20 + 20}} = ...?\]

Answer 6

9/40

Answer 7

22.5%

Answer 8

I think 24/80=30%

Answer 9

so 4 rounds because they say in the next 3. I missed that

Answer 10

ok!

Answer 11

our experiment includes four rounds

Answer 12

ok I see but where did you het the extra 6 from sorry confused

Answer 13

first 6 is from the first round

Answer 14

nevermind I reread it. Im terrible at these

Answer 15

Thanks so much!!!!

Answer 16

Thanks!!!