Unit 4 Quiz Review
1) We want to estimate the probability that the maximum of the three dice is 5 or greater. To do this, we will simulate rolling three dice for a single trial. 5 trials are shown below:
Trial 1: 3, 5, 4
Trial 2: 2, 6, 1
Trial 3: 4, 2, 2
Trial 4: 1, 2, 5
Trial 5: 3, 4, 6
Appropriately assign the value of 'proportion' that represents our estimate (through 5 trials) for the probability that the maximum of three dice is 5 or greater.
2) We want to estimate the probability that the sum of the three dice is greater than 10. To do this, we will simulate rolling three dice for a single trial. 5 trials are shown below:
Trial 1: 3, 5, 4
Trial 2: 2, 6, 1
Trial 3: 4, 2, 2
Trial 4: 1, 2, 5
Trial 5: 3, 4, 6
Appropriately assign the value of 'proportion' that represents our estimate (through 5 trials) for the probability that the sum of the three dice is greater than 10.
3) We want to estimate the probability that the range of four dice is greater than 3. To do this, we will simulate rolling four dice for a single trial. 5 trials are shown below:
Trial 1: 3, 5, 4, 1
Trial 2: 2, 6, 1, 3
Trial 3: 4, 2, 2, 1
Trial 4: 1, 2, 3, 4
Trial 5: 3, 4, 6, 2
Appropriately assign the value of 'proportion' that represents our estimate (through 5 trials) for the probability that the range of the range of four dice is greater than 3.
4) We want to estimate the probability that our default team (that has a 50% chance to win on any given game) would win at least 13 games out of 17.
We will use a random number from 1 to 2. 1 represents a win; 2 represents a loss.
Trial 1:
1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1
Trial 2:
1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1
Trial 3:
2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1
Trial 4:
1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1
Trial 5:
2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1
Appropriately assign the value of 'proportion' that represents our estimate (through 5 trials) for the probability that our default team wins at least 13 games.