1. Four (standard) dice (cubes with 1,2,3,4,5,6 respectively,dots on their six faces) each of a different color are tossed each landing with one of its faces up, thereby showing a number of dots. Determine the following probabilities.

a. the probability that the total number of dots shown is 6
b. the probability that at most two of the dice show exactly one dot
c. the probability that each die shows at least two dots
d. the probability that the four numbers of dots shown are all different
e. the probability that there are exactly two different numbers of dots shown

Solution Preview

Four dice are tossed and there are 6^4 = 1296 permutations.
a. If the total number of dots is 6, then the possible combinations are (1,1,1,3) and (1,1,2,2), each has 4! = 24
permutations. Thus the probability is (24 + 24) / 1296 = 1/27
b. If at most two of dice show ...

Determining Probabilities - Ancorage, Alaska. ... (Assume 60% are Males).Determine the probabilties. ... by step explanation of the given statistical probability problem ...

... a). determine probability that the fish weighs less than 2.2 pounds. b) Determines the probability that the fish weighs between 3 and 5 pounds. ...

Using Probability to Determine Likelihood. ... Required probability = (10/30) * (9/29 ) = 90/870 = 0.1034. Using Probability to Determine Likelihood. ...

... The expert determines the birthplace of a class of ... being born in different Florida cities are determined. ... Division is used to determine the probabilities. ...

...Probability Proportional to Size (PPS) sampling is a well known method in auditing. Solution to the given problem describes the steps to determine the ...

Decision making with probabilities. ... Dollar has determined probability estimates of the store's future profitability, based on economic outcomes, as: P($80,000 ...

... Using PERT, Harold Benson was able to determine that the expected project completion time ... and the project variance is 9. (a) What is the probability that the ...