MAT 142 Lecture Video Series
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
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 well- shuffled deck of 52 cards. What is the probability that the card is a heart?
A card is drawn from a well- shuffled deck of 52 cards. What are the odds of drawing a heart?
A card is drawn from a well- shuffled deck of 52 cards. What is the probability that the card is below a 9 (ace high)?
A card is drawn from a well- shuffled 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 (bbg) 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 (bbg) 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 (bbg) 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 pure- white 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)
Creator and Producer Elizabeth Jones for The School of Mathematical and Statistical Sciences at Arizona State University Videographer Mike Jones ©2009 Elizabeth Jones and School of Mathematical and Statistical Sciences at Arizona State University