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ella [17]
1 year ago
5

Find the probability of each event. A gambler places a bet on a horse race. To win, he must pick the top three finishers in any

order. Eight horses of equal ability are entered in the race. Assuming the horses finish in a random order, what is the probability that the gambler will win his bet?
Mathematics
1 answer:
Lina20 [59]1 year ago
3 0

Answer: \dfrac{1}{56}

Step-by-step explanation:

Total horses = 6

Number of ways to choose top 3 finishers in order = 3! = 6

Number ways to select 3 horses out of 8 in order = ^8P_3  [By permutations]

=\dfrac{8!}{(8-3)!}=\dfrac{8!}{5!}=8\times7\times6=336

Now, the probability that the gambler will win his bet =

\dfrac{\text{Number of ways to choose top 3 finishers }}{\text{Number ways to select 3 horses out of 8 in order}}

=\dfrac{6}{336}\\\\=\dfrac{1}{56}

Hence, the required probability =  \dfrac{1}{56}

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7 0
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this net will be folded to form a prism. which pairs of faces will be opposite one another when the prism is created? check all
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Answer:

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Step-by-step explanation:

Given:

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.

Stanley has 49 seashells from Florida.

Now, to find the number of seashells of his collection altogether.

Let the number of seashells all together be x.

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Now, to get the number of seashells altogether we put an equation:

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