Question

a cancer 75% of the problems in this book and we can solve 70% what is the probability that either​

Answer 1

Answer:

a, probability of solving problem = 75%

=> $\frac{75}{100}$ =  (3 X 25) / (4 X 25)

=>  3 / 4

a, probability of not solving problem = 1 - ($\frac{3}{4}$)

=>$\frac{1}{4}$

b probability of solving problem = 70%

=> $\frac{70}{100}$

=> (7 X 10) / (10 X 10)

=> $\frac7}{10}$

b, probability of not solving problem

= 1 - ($\frac7}{10}$)

=>  3 / 10

Now,

a or b solving a problem = a solves and b does not + a does not  and b does + Both a and b solves the problem

=> ($\frac3}{4}$) X ($\frac3}{10}$) + ($\frac1}{4}$) X ($\frac7}{10}$) + ($\frac37}{4}$) X ($\frac7}{10}$)

=> ($\frac9}{40}$) + ($\frac7}{40}$) + ($\frac21}{40}$)

=> $\frac37}{40}$

=> $\frac37}{40}$

X 100%

=> 37 X 2.5%

= > 92.5% or 0.925

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@GauravSaxena01