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In a casino, anelectronic game consists in choosing the five fastest horses(and their final order –1st,...

In a casino, anelectronic game consists in choosing the five fastest horses(and their final order –1st, 2nd, 3rd, 4thand 5th)in a random race involving 12 horses.A participant wins:•The grand prize of $250,000 if he/she correctly choosesthe first, second, third,fourth and fifth horses.•Aprize of $1000 if he/she correctly chooses the first 5 horses, but their order is incorrect.•A prize of $5 if he/she correctly chooses 3 or 4 of the 5 fastest horses (regardless oftheir exact ranking).

a)Find the probability of winning the grand prize. Explain your reasoning.

b)Find the probability of winning $1000. Explain your reasoning.

c)Find the probability of winning $5. Explain your reasoning

d)If a person plays this gametwice, what is the probability that this person wins $5 at least once?

Math   Statistics-And-Probability   
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