If the probability of event C is 0.2 and the probability of event D is 0.3, what
Practice Questions
Q1
If the probability of event C is 0.2 and the probability of event D is 0.3, what is the probability of either C or D occurring if they are mutually exclusive?
0.5
0.6
0.3
0.2
Questions & Step-by-Step Solutions
If the probability of event C is 0.2 and the probability of event D is 0.3, what is the probability of either C or D occurring if they are mutually exclusive?
Step 1: Understand what mutually exclusive means. It means that event C and event D cannot happen at the same time.
Step 2: Know the probabilities given in the question. The probability of event C is 0.2 and the probability of event D is 0.3.
Step 3: Use the formula for mutually exclusive events. The formula is P(C or D) = P(C) + P(D).
Step 4: Substitute the values into the formula. So, P(C or D) = 0.2 + 0.3.
Step 5: Calculate the sum. 0.2 + 0.3 equals 0.5.
Step 6: Conclude that the probability of either event C or event D occurring is 0.5.
Mutually Exclusive Events – Events that cannot occur at the same time; the probability of either event occurring is the sum of their individual probabilities.
Probability Addition Rule – For mutually exclusive events, the probability of either event occurring is calculated by adding their individual probabilities.
