Cards are down at random from a pack of 200 cards numbered 1 to 200. Find the probability of drawing a number which is a perfect cube?
Correct Answer: 1/40
Explanation:
Total number of ways of selecting 1 card from 200 cards is 200C1 ways.
Let E be an event of drawing a number which is a perfect cube.
E = {1, 8, 27, 64, 125 }
∴ P(E) = n(E) / n(S)
= 5C1 / 200C1 = 5/200 = 1/40