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In a race Brian Collins has to cross 10 hurdles. Find the probability that he jumps a hurdle is 2/3. Find p(knocks down all hurdles)

In a race Brian Collins has to cross 10 hurdles Find the probability that he jumps a hurdle is 23 Find pknocks down all hurdles class=

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We regard this as a series of independent events.  Thus, the prob. of knocking down all 10 hurdles is (2/3)^10.

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that

Probability that he jumps a hurdle = [tex]\frac{2}{3}[/tex]

Total number of hurdles = 10

Probability that he knocks down = [tex]1-\frac{2}{3}=\frac{1}{3}[/tex]

So, Probability (knocks down all hurdles ) is given by

[tex](\dfrac{1}{3})^{10}\\\\=\dfrac{1}{59049}[/tex]

Hence, Option 'a' is correct.