Arun Sharma Solutions for Exercise 2: Level of Difficulty

Amaranth appears in an exam that has $4$ subjects. The chance he passes an individual subject's test is $0.8$. What is the probability that he will fail in all the subjects?

Amaranth appears in an exam that has $4$ subjects. The chance he passes an individual subject's test is $0.8$. What is the probability that he will pass in at least one subject is?

A batch of $50$ transistors contains $3$ defective ones. Two transistors are selected at random from the batch and put into a radio set. What is the probability that both the transistors selected are defective?

A batch of $50$ transistors contains $3$ defective ones. Two transistors are selected at random from the batch and put into a radio set. What is the probability that only one is defective?

A batch of $50$ transistors contains $3$ defective ones. Two transistors are selected at random from the batch and put into a radio set. What is the probability that neither is defective?

The probability that a man will be alive in $35$years is $\frac{3}{5}$ and the probability that his wife will be alive is $\frac{3}{7}$. Find the probability that after $35$years.

both will be alive.

A locker at the world famous WTC building can be opened by dialing a fixed three-digit code(between $000$ and $999$). Don, a terrorist, only knows that the number is a three-digit number and only one is six. Using this information, he tries to open the locker by dialing three digits at random. What is the probability that he succeeds?

In a bag, there are $12$ black and $6$ white balls. Two balls are chosen at random, and the first one is found to be black. The probability that the second one is also black is: