 ### Can two events with nonzero probabilities be both independent and mutually exclusive?

The question aims to answer if two events can be both independent and mutually exclusive simultaneously with non-zero probabilities. When we toss two coins, the result of one coin does not affect the other. if one outcome is head/tail, this doesn’t affect the result of another event. This means mutually exclusive events are not independent. […]

### Based on the normal model N(100, 16), describing IQ scores. What percent of people’s IQ would you expect to be:

Percentage of population greater than 80. Percentage of population less than 90. Percentage of population between 112 – 132. The question aims to find the percentage of the people’s IQ with the mean of the population to be 100 and a standard deviation of 16. The question is based on the concepts of probability from […]

### What is the probability that a fair die never comes up an even number when it is rolled six times?

This problem aims to find the probability of the occurrence of a random event and its predictable outcomes. The concepts required for this problem are mainly related to probability and the product rule. Let’s first look at a fair die, whose each face has the identical probability of coming faced up. Read moreIn how many […]