Final answer:
The logical expression for addition carry is p AND q. The logical expression for multiplication options is p OR q. To find the probability of events C and D happening together, we use the logical operator 'AND', and to find the probability of events C or D happening, we use the logical operator 'OR'.
Step-by-step explanation:
The logical expression for addition carry is p AND q.
The logical expression for multiplication options is p OR q.
To find the probability of events C and D happening together, we use the logical operator 'AND', so P(C AND D) represents the probability of both C and D occurring.
If C and D are mutually exclusive, it means they cannot happen at the same time and the probability of both occurring is zero.
If C and D are independent events, it means the occurrence of one does not affect the occurrence of the other and the probability of both occurring can be calculated by multiplying the individual probabilities.
To find the probability of events C or D happening, we use the logical operator 'OR', so P(C OR D) represents the probability of either C or D occurring.
To find the probability of the complement of event D, we subtract the probability of D from 1, so P(D') represents the probability of not D occurring.