At the Fairgrounds racetrack, each race has four horses. Assume that the horses are equally matched in the race such that every horse has an equally likely chance of winning (so, the binomial distribution is appropriate).  If you went to this particular track and bet on 9 races, what is the probability that you would pick the winner for exactly 3 races?

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At the Fairgrounds racetrack, each race has four horses. Assume that the horses are equally matched in the race such that every horse has an equally likely chance of winning (so, the binomial distribution is appropriate). 

If you went to this particular track and bet on 9 races, what is the probability that you would pick the winner for exactly 3 races?

 

Give answers in symbolic form before reporting the exact probability the using your chart. You may also compute the answer using the binomial probability function. Round your final answer to 4 decimal places.

 

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