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?

Respuesta :

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}   [/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]

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