A box contains 10 apples, 9 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n?  Choose the correct answer
A) 3  B) 4  C) 5  D) 6  E) 7
When you choose (and then eat) the first apple, the probability of that apple being red is 9/10. So if we do the activity 1 times, the probability of it being red is 9/10.   For 2 times, it is (9/10)*(8/9)   For 3 times, it is (9/10)*(8/9)*(7/8)   You can notice that the numerator of the first term cancels with the denominator of the second. So we can see that the probability becomes 0.5 when the last term is 5/6 &amp; it becomes less than 0.5 when the last term is 4/5.   9 accounts for n=1, so 4 will account for n=6,   Answer.6
<result>D</result>
A box contains 10 apples, 9 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n?