A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that (i) She will buy it? (ii) She will not buy it?
31/36
5/36
Explanation
The question requires calculating the probability of drawing a good pen versus a defective pen from a lot. The total number of outcomes is the total number of pens (144). For part (i), the favorable outcome is drawing a good pen. Since there are 20 defective pens, the number of good pens is 144 - 20 = 124. The probability is the ratio of good pens to total pens. For part (ii), the favorable outcome is drawing a defective pen (since she will not buy it), which is given directly as 20. The context provided includes similar problems (like Question 16 and 17) which establish the formula P(E) = Number of favorable outcomes / Total number of outcomes.