Final answer:
Using the Boolean OR operator, if both A and B are false, the result is also false. The OR operator requires at least one operand to be true to evaluate to true.
Step-by-step explanation:
The correct answer is option 'false'. In Boolean logic, the operator || stands for OR. This operator returns true if at least one of the operands is true.
When using the Boolean OR operator with both variables A and B being false, the expression A || B evaluates to false. It only evaluates to true if at least one of the operands (A or B) is true. Since both A and B are false in this case, the result of the expression is false.
The correct answer is option c. Yes, because if A has occurred, it is impossible to obtain two tails. In other words, P(A AND B) = 0.
If A and B are mutually exclusive, then P(A AND B) = 0. Then P(A OR B) = P(A) + P(B) − P(A AND B) becomes P(A OR B) = P(A) + P(B). Since A and B are both false, P(A) = 0 and P(B) = 0. Therefore, P(A OR B) = 0 + 0 = 0.