A bag contains 10 jelly beans, 9 of which are purple. A

Question

A bag contains 10 jelly beans, 9 of which are purple. A jelly bean is drawn from the bag and its colour is noted before it is eaten. This is done a total of n times, and the probability that a purple jelly bean is drawn each time is less than 0.5. What is the smallest possible value of n ?

(A) 3 (B) 4 (C) 5 (D) 6 (E) 7

KillerSquirrel · Answer

Is that's correct ?

12345678 · Answer

i think its C
cuz if he takes out 5 times den probability will 5/9 ~.45<.5

IrinaOK · Answer

also get D

if n is 5, then probability that those 5 will be purple is exacly 1/2
so n needs to be more than 5.

9/10 x 8/9 x 7/8 x 6/7 x 5/6 x 4/5 n=6

9/10 x 8/9 x 7/8 x 6/7 x 5/6 =1/2 ---------------------> n=5

 so n =6

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A bag contains 10 jelly beans, 9 of which are purple. A

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