Given: A lot of 144 ball pens, where 20 are defective and the remaining are good.
Step 1: Understanding the Probability of Selecting a Good Pen
Total pens = 144
Defective pens = 20
Good pens = 144 - 20 = 124
Step 2: Probability Calculation
Probability of selecting a good pen = Number of good pens / Total number of pens
= 124 / 144 = 31 / 36
Final Answer: 31 / 36
Four students of class XII are given a problem to solve independently. Their respective chances of solving the problem are: \[ \frac{1}{2},\quad \frac{1}{3},\quad \frac{2}{3},\quad \frac{1}{5} \] Find the probability that at most one of them will solve the problem.
Two persons are competing for a position on the Managing Committee of an organisation. The probabilities that the first and the second person will be appointed are 0.5 and 0.6, respectively. Also, if the first person gets appointed, then the probability of introducing a waste treatment plant is 0.7, and the corresponding probability is 0.4 if the second person gets appointed.
Based on the above information, answer the following