A tetrahedron (see the picture below) is a pyramid with 4 faces, each a triangle with all sides equal in length. Label the 4 faces of a tetrahedral die with 1, 2, 3, and 4 spots. When rolling such a die, we record the number of spots on the down-face. Because all sides of the triangles are of equal length, it is reasonable to believe that all faces are equally likely to end up down, so that each number 1 through 4 has a probability of 1/4. The coefficients of a quadratic equation: x^2 + bx +c = 0 are determined by rolling this 4-sided die twice (the first outcome is b, the second one is c). 

A) (1 mark) Write down the sample space of this die rolling experiment.

B) (1 mark) Express the event that the quadratic equation has real roots in terms of the sample space. 

C) (1 mark) Find the probability that the equation has real roots.

 

Transcribed Image Text:

A tetrahedran. 1 2 3 4 n draws WR A tetrahedran. 1 2 3 4 n draws WR

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We have a tetrahedron die with faces 1 2 3 4 labelled ... View the full answer