Question

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)

Answer 1

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

Answer 2

Answer: Option 'a' is correct.

Explanation:

Since we have given that

Probability that he jumps a hurdle =
`(2)/(3)`

Total number of hurdles = 10

Probability that he knocks down =
`1-(2)/(3)=(1)/(3)`

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

`((1)/(3))^(10)\\\\=(1)/(59049)`

Hence, Option 'a' is correct.