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 [tex] =1-\frac{1}{4}=\frac{3}{4} Â [/tex]
Probability of missing all Hurdle[tex] =\frac{3}{4} *\frac{3}{4} *\frac{3}{4} .....*\frac{3}{4} =(\frac{3}{4} )^{10} [/tex]
Hence proabaility that atleast one Hurdle will be scuccefully crossed[tex] =1-(\frac{3}{4} )^{10}=0.9436 \approx 94 \ Percent. [/tex]