rules of inference to show that each argument is valid. a. Let p be the proposition "I attend the lecture," q be "I watch the lecture recording," and r be "I do well on the quiz." If I attend the lecture, then I do well on the quiz. I attend the lecture or watch the lecture recording I did not watch the lecture recording Therofore Ldid well on the qui,

Size of sample space L.A An eleven-sided dice is rolled and a five-sided is tossed. Considering this as a probability experiment, what is the size of the sample space? An Event In the context of the probability experiment just described. Consider the event in which the two numbers on the two dice add to 12. What is the size of this set? 1.B Probability of an event (1/2) What is the probability of the event just described? Write your answer as a fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction by cancelling factors common to the numerator and denominator but you do not need to do this. 1.C Probability of an event (2/2) What is the probability that upper faces on the two dice add to fifteen? Write your answer as a fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction by cancelling factors common to the numerator and…

D. Determine if valid or invalid. Using Rules of Inference. 28. If you play golf during a thunderstorm, you’ll get hit by lightning. You didn’t get hit by lightning. Therefore, you didn’t play golf during a thunderstorm.

Let q = and r = 8=q+rands= be two rational numbers written in lowest terms. Let be written in lowest terms. Assume that s is not 0. Prove or disprove the following two statements. a. If b and d are odd, then f is odd. b. If b and d are even, then f is even.