# A box contains 150 oranges.If one orange is taken… [closed]

A box contains 150 oranges.If one orange is taken out from the box at random and the probability of its being rotten is 0.06, then find the number of good oranges in the box.

-

## closed as off-topic by Live Forever, BruceET, Claude Leibovici, N. F. Taussig, MATHEMATIKEROct 4 '15 at 10:12

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Live Forever, BruceET, Claude Leibovici, N. F. Taussig, MATHEMATIKER
If this question can be reworded to fit the rules in the help center, please edit the question.

Number of bad ones: $150\cdot 0.06=9$? – Mårten W Jan 31 '13 at 16:06
Strictly speaking, we don't know the number of good oranges. There could be 150 bad oranges in the box. We can only give the estimated number of good oranges. – akkkk Jan 31 '13 at 16:07
@akkkk: We are told that if we take an orange at random from this box, the probability of bad is $0.06$. It follows that there are for sure exactly $9$ bad. – André Nicolas Jan 31 '13 at 16:18
@MårtenW 0.06 is the probability of a rotten one. The question asks for the number of good ones, thus $150 \times (1 - 0.06) = 141$. – Michael Jan 31 '13 at 17:01
@AndréNicolas: I read it as a "factory of boxes" question, in which some process generates uniformly distributed rotten oranges. If you know the probability for this exact box, then apparently you have already counted the rotten ones. – akkkk Jan 31 '13 at 19:34

The probability that the orange is not rotten (good) is $1 - 0.06 = 0.94$. Hence, we know that $0.94$ times the total number of oranges ($150$) is the number of good oranges, which numerically is $150 \times 0.94 =141$.
@nye The answer can be $91$ if and only if good does not mean not bad in your question. – Parth Kohli Jan 31 '13 at 16:17