show steps please 2 An icosahedron is a regular geometric figure that has 20 geo

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show steps please

2 An icosahedron is a regular geometric figure that has 20 geometrically identical faces. These can be marked with numbers and used like dice Suppose that you have one of these, and that it is marked with the integers 1, 2, 3, 20 If you roll this object exactly once, find a the probability that the top face has an even number P(Even), b. the probability that the top face has a number greater than 7 PeT) c. the probability that the top face has a number at most 4, d. the probability that the top face has a number less than 4 e what are the elementary events that make up the compound event in part d? Wnite the compound-event equation for P(part d)

Explanation / Answer

a)P(even) =10/20 =1/2 (as out of 20 equally probable outcomes ; 10 are even)

b) P(>7) =13/20 (As 13 numbers are greater than 20)

c)

P(X<=4) =4/20 =1/5 (as 4 numbers are at most 4)

d)

P(X<4) =3/20 (3 numbers are less than 4)

e)elementary events are that outcome on top face is 1,2 or 3.

P(X<4) =P(X=1)+P(X=2)+P(X=3)

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