Probability 80860

During the exam, the student takes 3 questions out of 20. He is ready for 14 of them. Find the probability that he draws at least one that he knows.

Correct answer:

p =  0.973

Step-by-step explanation:

r=2014=107=0.7 p1=(13)r1(1r)31=(13)0.71(10.7)31=30.710.32=1000189=0.189 p2=(23)r2(1r)32=(23)0.72(10.7)32=30.720.31=1000441=0.441 p3=(33)r3(1r)33=(33)0.73(10.7)33=10.730.30=1000343=0.343  p=p1+p2+p3=0.189+0.441+0.343=0.973

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