In a race, Brian Collins has to cross 10 hurdles. The probability that he clears a hurdle is 2/3. Find P(clears all hurdles).
2 answers:
Answer:
1024/59049, 1.7%
Step-by-step explanation:
One way to do it would to be simply multiply 2/3 by itself 10 times
2/3 x 2/3 x 2/3 x 2/3 and so on
That would be a really long equation so instead we can use exponents to shorten it. We can simply just do 2^10/3^10
2^10=1024
3^10=59049
1024/59049, 1.7%
Answer:
1024/59049
Step-by-step explanation:
P( clear hurdle) = 2/3
There are 10 hurdles
P ( clear all hurdles) = P( clear hurdle) * P( clear hurdle)...... 10 times
= 2/3 * 2/3 *....... 10 times
= (2/3) ^ 10
=1024/59049
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