13-3 Probability and odds.

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Presentation transcript:

13-3 Probability and odds

Vocabulary Probability Sample Space Success Failure The measure of the chances of an event happening Sample Space The set of all outcomes Success The desired outcome Failure Any other outcome rather than the desired outcome

P(S) = 𝑠𝑢𝑐𝑐𝑒𝑠𝑠 𝑡𝑜𝑡𝑎𝑙 P(F) = 𝑓𝑎𝑖𝑙𝑢𝑟𝑒 𝑡𝑜𝑡𝑎𝑙 P(S) + P(F) = 1 Probability of Success and Failure P(S) = 𝑠𝑢𝑐𝑐𝑒𝑠𝑠 𝑡𝑜𝑡𝑎𝑙 P(F) = 𝑓𝑎𝑖𝑙𝑢𝑟𝑒 𝑡𝑜𝑡𝑎𝑙 P(S) + P(F) = 1

Basic Knowledge… 52 cards in a deck 4 different suites 13 of each card 26 red/26 black

1) A deck of cards has 52 cards total 1) A deck of cards has 52 cards total. What is the probability of pulling a heart? How many hearts? Probability of pulling a heart? 2) What would be the probability of not pulling a king?

3) A class contains 8 boys and 7 girls 3) A class contains 8 boys and 7 girls. What is the probability that a girl is called on for a question?

4) There are 10 IPods in a basket. 3 of those IPods don’t work 4) There are 10 IPods in a basket. 3 of those IPods don’t work. If you selected 3 IPods at random, what is the probability that all three are defective? Hint: How many ‘groups of 3’ can you pick?

There is a drawer filled with 7 forks, 3 knives, and 5 spoons There is a drawer filled with 7 forks, 3 knives, and 5 spoons. What is the probability when you pull out 3 utensils you get 2 knives and 1 fork

5) In Ms. K’s AFM Class there are 40 students total, 13 of which are currently failing. If 5 students are chosen at random, what is the probability that at least 1 is failing?

6) A box contains 3 tennis balls, 7 softballs, and 11 baseballs 6) A box contains 3 tennis balls, 7 softballs, and 11 baseballs. One ball is chosen at random. What is the probability that it is not a baseball?

Odds The odds of a successful outcome of an event is the ratio of the probability of its success to the probability of its failure. Odds = P(S) P(F)

7)Given all the letters of the alphabet are in a bag, what are the odds you pick a vowel? 8)The probability of being accepted into NC state is 3/10. What are the odds?

9) Seven Kittens are in a litter and only 4 have stripes 9) Seven Kittens are in a litter and only 4 have stripes. Three kittens are picked. What is the odds of picking a group where only one is not striped.

10)Of 27 students in a class, 11 have blue eyes, 13 have brown eyes, and 3 have green eyes. If 3 students are chosen at random what are the odds of 2 having brown eyes and 1 having blue eyes?

11) Twelve male and 16 female students have been selected as candidates for college scholarships. If the awarded recipients are to be chosen at random, what are the odds that 3 will be male and 3 will be female?