MathDB
2019 Individual #8

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May 1, 2022
2019 Individual

Problem Statement

James randomly selects 44 distinct numbers between 33 and 1010, inclusive. What is the probability that all 44 numbers are prime?
<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>128<spanclass=′latex−bold′>(C)</span>114<spanclass=′latex−bold′>(D)</span>17<spanclass=′latex−bold′>(E)</span>14<span class='latex-bold'>(A) </span>0\qquad<span class='latex-bold'>(B) </span>\dfrac1{28}\qquad<span class='latex-bold'>(C) </span>\dfrac1{14}\qquad<span class='latex-bold'>(D) </span>\dfrac17\qquad<span class='latex-bold'>(E) </span>\dfrac14
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