Maggi has 10 hurdles to cross in a race. the probability of crossing a hurdle successfully is 1/4. what is the probability that she will cross at least one hurdle?

Question

asked Nov 9, 2019 208k views

1 Answer

Vic Goldfeld · Answer 1 · 2019-11-15T13:10:19+0000

Solution:

we are given that

Maggi has 10 hurdles to cross in a race. the probability of crossing a hurdle successfully is 1/4.

we have been asked- what is the probability that she will cross at least one hurdle?

Probability of not corssing one Hurdle
=1-(1)/(4)=(3)/(4)

Probability of missing all Hurdle
=(3)/(4) *(3)/(4) *(3)/(4) .....*(3)/(4) =((3)/(4) )^(10)

Hence proabaility that atleast one Hurdle will be scuccefully crossed
$=1-((3)/(4) )^(10)=0.9436 \approx 94 \ Percent.$