Two tetrahedrons (four-sided), each with equal sides with from one to four dots,

Question

Two tetrahedrons (four-sided), each with equal sides with from one to four dots, are identical except that one is red and the other white. The two tetrahedrons are tossed, and the total number of dots on the bottom faces is observed. (a) What is the sample space for this experiment? (b) Let X represent the random variable that gives the total number of dots on the bottom two faces. Find the probability distribution for X. (c) Find the probability of obtaining a 4. (d) Find the probability of obtaining a 5 or higher. (e) Find the expected value of X. Please Help with all Values, A-E

Explanation / Answer

white can be 1 or 2 red can be 2 or 1 There are 16 possible combinations. It looks like this 1 - 1 1 - 2 1- 3 1 - 4 Do the same thing for 2 3 and 4. Because they are different colored they are different combinations. There are only two that work. therefore the answer is 2/16 = 1/8

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