Problem 5 A tetrahedron is a regular 4-sided solid; each of its faces is an equi

Question

Problem 5 A tetrahedron is a regular 4-sided solid; each of its faces is an equilateral triangle. That is, it is a pyramid with a triangular base; all of its faces have the same triangular shape. Consider a fair, well balanced tetrahedral die, with one spot on one face, two spots on another, three on another, and four spots on the fourth face. Such a die will not land showing a face on top--it would not balance. Rather, we shall think about the face on the bottom. A fair coin and this die are tossed/rolled together 6 times. Assume that the number of spots that show on the bottom of the die and the face that shows on the top of the coin are independent in each trial, and are independent from trial to trial. The number of trials among these six in which the coin lands "heads" and the die lands on the face with one spot on the bottom (Q9)

Explanation / Answer

A fair coin and four sided die tossed together 6 times.

Total number of trials = 2 * 4 * 6 = 48

Possible number of trial = 6 * 1 * 1 = 6

Because only one way of getting head and 1 in one tossed/rolled.

So that the total number of ways in 6 trials are 6

Therefore answer = 6

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