16. What is the (approximate) probability that Die1+Die2+Die3=10? a. The probabi

Question

16. What is the (approximate) probability that Die1+Die2+Die3=10? a. The probability is approximately 5%. b. The probability is approximately 10%. c. The probability is approximately 20%. d. The probability is approximately 25%. 17. What is the (approximate) probability that Die1+Die2+Die3>10? a. The probability is approximately 25%. b. The probability is approximately 35%. c. The probability is approximately 50%. d. The probability is approximately 75%. 18. What is the (approximate) probability that Die1+Die2>9? Careful: You need to create another column (and histogram) based on the first two dice or to argue directly by listing all possible outcomes! a. The probability is approximately 5%. b. The probability is approximately 15%. c. The probability is approximately 25%. d. The probability is approximately 35%.

Explanation / Answer

The total possible outcomes are 216.

The probability of sum 10 P( Die1+Die2+Die3=10)

There are 27 possible outcomes for Die1+Die2+Die3=10

= (possible outcomes for Die1+Die2+Die3=10)/(The total possible outcomes) = 27/216 = 12.5%

Probability is approximately 10%.

Probability that Die1+Die2+Die3>10

There are 108 possible outcomes for Die1+Die2+Die>10

The probability of sum>10 P( Die1+Die2+Die3>10) = 108/216 = 50%

Approximate Probability that Die1+Die2+Die3>10 is 50%.

For rolling two dice

The total possible outcomes are 36

probability that Die1+Die2>9

The posible outcome are (4,6),(5,5),(5,6),(6,4),(6,5),(6,6)

Possible outcome for Die1+Die2>9 are 6

probability that Die1+Die2>9 = 6/36 = 16.6%

approximately 15%.

Total possibe outcomes for rolling three dice 1,1,1 1,1,2 1,1,3 1,1,4 1,1,5 1,1,6 1,2,1 1,2,2 1,2,3 1,2,4 1,2,5 1,2,6 1,3,1 1,3,2 1,3,3 1,3,4 1,3,5 1,3,6 1,4,1 1,4,2 1,4,3 1,4,4 1,4,5 1,4,6 1,5,1 1,5,2 1,5,3 1,5,4 1,5,5 1,5,6 1,6,1 1,6,2 1,6,3 1,6,4 1,6,5 1,6,6 2,1,1 2,1,2 2,1,3 2,1,4 2,1,5 2,1,6 2,2,1 2,2,2 2,2,3 2,2,4 2,2,5 2,2,6 2,3,1 2,3,2 2,3,3 2,3,4 2,3,5 2,3,6 2,4,1 2,4,2 2,4,3 2,4,4 2,4,5 2,4,6 2,5,1 2,5,2 2,5,3 2,5,4 2,5,5 2,5,6 2,6,1 2,6,2 2,6,3 2,6,4 2,6,5 2,6,6 3,1,1 3,1,2 3,1,3 3,1,4 3,1,5 3,1,6 3,2,1 3,2,2 3,2,3 3,2,4 3,2,5 3,2,6 3,3,1 3,3,2 3,3,3 3,3,4 3,3,5 3,3,6 3,4,1 3,4,2 3,4,3 3,4,4 3,4,5 3,4,6 3,5,1 3,5,2 3,5,3 3,5,4 3,5,5 3,5,6 3,6,1 3,6,2 3,6,3 3,6,4 3,6,5 3,6,6 4,1,1 4,1,2 4,1,3 4,1,4 4,1,5 4,1,6 4,2,1 4,2,2 4,2,3 4,2,4 4,2,5 4,2,6 4,3,1 4,3,2 4,3,3 4,3,4 4,3,5 4,3,6 4,4,1 4,4,2 4,4,3 4,4,4 4,4,5 4,4,6 4,5,1 4,5,2 4,5,3 4,5,4 4,5,5 4,5,6 4,6,1 4,6,2 4,6,3 4,6,4 4,6,5 4,6,6 5,1,1 5,1,2 5,1,3 5,1,4 5,1,5 5,1,6 5,2,1 5,2,2 5,2,3 5,2,4 5,2,5 5,2,6 5,3,1 5,3,2 5,3,3 5,3,4 5,3,5 5,3,6 5,4,1 5,4,2 5,4,3 5,4,4 5,4,5 5,4,6 5,5,1 5,5,2 5,5,3 5,5,4 5,5,5 5,5,6 5,6,1 5,6,2 5,6,3 5,6,4 5,6,5 5,6,6 6,1,1 6,1,2 6,1,3 6,1,4 6,1,5 6,1,6 6,2,1 6,2,2 6,2,3 6,2,4 6,2,5 6,2,6 6,3,1 6,3,2 6,3,3 6,3,4 6,3,5 6,3,6 6,4,1 6,4,2 6,4,3 6,4,4 6,4,5 6,4,6 6,5,1 6,5,2 6,5,3 6,5,4 6,5,5 6,5,6 6,6,1 6,6,2 6,6,3 6,6,4 6,6,5 6,6,6

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