AFM 13.3 Probability and Odds. When we are uncertain about the occurrence of an event, we can measure the chances of it happening with PROBABILITY.

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Presentation transcript:

AFM 13.3 Probability and Odds

When we are uncertain about the occurrence of an event, we can measure the chances of it happening with PROBABILITY

If an event can succeed in s ways and fail in f ways, then the probability of success is

A box contains 3 tennis balls, 7 softballs, and 11 baseballs. One ball is chosen at random. P(softball) P(not a baseball) P(golf ball)

One flower is randomly taken from a vase containing 5 red flowers, 2 white flowers, and 3 yellow flowers. P(red flower) P(not yellow) P(red or yellow)

Sum of numbers on dice

Find the probability P(sum of 5) P(sum of 7) P(sum of 13) P(sum of 12)

Standard deck of cards

How many Red cards ? Black cards ?26 Hearts ? Diamonds ? Spades ? Clubs ? Face cards ? 12

Use standard deck of cards P(red card) P(heart card) P(face card) P(red queen )

Counting methods used for combinations can be used in determining probability Use combinations to find how many ways it can possibly happen when selecting more than one at a time C(n,r) is n objects taken r at a time

Bob has 10 rap, 18 rock, 8 country, and 4 pop CDs in his music collection. Two are selected at random… P(2 pop) P(2 country) P(1 rap and 1 rock)

12 male and 16 female students have been selected as equal qualifiers for 6 college scholarships. If the awarded recipients are to be chosen at random: What is the probability that 3 will be male and 3 will be female?

ODDS The odds of the successful outcome of an event is the ratio of the probability of its success to the probability of its failure. Odds=

Find the odds A local weather forecast states that the probability of rain on Saturday is 80%. What are the odds that it will rain on Saturday? What are the odds that it will not rain on Saturday?

Of 7 kittens in a litter, 4 have stripes. 3 kittens are picked at random. Find odds of: All 3 have stripes P(s)= odds= Only 1 has stripes P(s)= odds= One is not striped P(s)=odds= If one is not striped, then 2 will be…

More finding odds 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: All 3 have blue eyes P(S)=odds are 2 brown and 1 blue P(s)= odds are