#### Transcript Deductive vs Inductive Reasoning

Basic Terms of Probability Objectives • Determine the probability of a given event . • Determine the odds of a given event. • Use a Punnet square to determine probability. Vocabulary • experiment • sample space - the set S of all possible outcomes of an experiment • event – any subset E of the sample space S • probability – success divided by total • odds – success to failures Formulas n (E ) p (E ) n (S ) o (E ) n (E ) : n (E ') A jar on your desk contains twelve black, eight red, ten yellow, and five green jellybeans. You pick a jellybean without looking. What is the probability that the jellybean is green? A jar on your desk contains twelve black, eight red, ten yellow, and five green jellybeans. You pick a jellybean without looking. What is the probability that the jellybean is not yellow? A jar on your desk contains twelve black, eight red, ten yellow, and five green jellybeans. You pick a jellybean without looking. What are the odds in favor of picking a black jellybean? A card is drawn from a wellshuffled deck of 52 cards. What is the probability that the card is a heart? A card is drawn from a wellshuffled deck of 52 cards. What are the odds of drawing a heart? A card is drawn from a wellshuffled deck of 52 cards. What is the probability that the card is below a 9 (ace high)? A card is drawn from a wellshuffled deck of 52 cards. What are the odds of a card below a 9 (ace high)? A family has three children. Using b to stand for boy and g to stand for girl, and using ordered triples such as (bbg) give: the sample space A family has three children. Using b to stand for boy and g to stand for girl, and using ordered triples such as (b, b, g) give: the event E that the family has exactly two daughters A family has three children. Using b to stand for boy and g to stand for girl, and using ordered triples such as (b, b, g) give: the event F that the family has at least two daughters A family has three children. Using b to stand for boy and g to stand for girl, and using ordered triples such as (b, b, g) give: the event G that the family has three daughters Vocabulary • • • • dominant recessive Punnett square codominant Mendel found that snapdragons have no color dominance; a snapdragon with one red gene and one white gene will have pink flowers. If a pure-red snapdragon is crossed with a purewhite snapdragon, find the probability of the following. • a red offspring • a white offspring • a pink offspring If carrier-detection tests show that two prospective parents have sickle cell trait (and are therefore carriers), find the probability of each of the following • their child would have sickle cell anemia. • their child would have sickle cell trait. • their child would be healthy (free of symptoms). Tay-Sachs disease is a recessive disease. If carrier-detection tests show that one prospective parent is a carrier of Tay-Sachs and the other has no Tay-Sachs gene, find the probability of each of the following. • their child would have the disease. • their child would be a carrier. • their child would be healthy (free of symptoms)