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.

Step-by-step explanation:

Since we have given that

Probability that he jumps a hurdle = $\frac{2}{3}$

Total number of hurdles = 10

Probability that he knocks down = $1-\frac{2}{3}=\frac{1}{3}$

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

$(\dfrac{1}{3})^{10}\\\\=\dfrac{1}{59049}$

Hence, Option 'a' is correct.