You pick a coin at random from the set show n at the right and then pick a
second coin without replacing the first. Find each probability.
See Pr o b l em 4.
Q Apply
- P (dim e th e n nickel)
- P(penny then dime)
- P(penny then nickel)
- P(dime then dime)
27. P (q u arte r th e n penny)
29. P (p en n y th e n q uarter)
31. P (dim e th e n penny)
33. P (q u arte r th e n quarter) - Cafeteria Each day, you, Terry, a n d 3 o th er friends ran d o m ly choose one of ^ See Problem 5.
your 5 n am es from a h a t to decide w ho throw s away everyone's lu n ch trash. W hat
is the probability th a t you are chosen on M onday an d Terry is ch o sen on Tuesday? - Free Samples Sam ples of a n ew d rink are h a n d e d out at ra n d o m from a cooler
holding 5 citrus drinks, 3 apple drinks, a n d 3 ra sp b erry drinks. W hat is the
probability th a t an apple d rink an d th e n a citrus drink are h a n d e d out?
Are the two events dependent or independent? E x p l a i n.
- Toss a penny. Then toss a nickel.
- Pick a n am e from a hat. W ithout replacem ent, pick a different nam e.
- Pick a ball from a basket of yellow an d p ink balls. R eturn th e ball a n d pick again.
- W riting Use your own w ords to explain th e difference b etw een in d e p e n d e n t an d
d e p e n d e n t events. Give an exam ple of each. - Reasoning A bag holds 20 yellow m ints an d 80 o th er green or p ink m ints. You
choose a m in t at random , eat it, an d choose another.
a. Find the n u m b e r of p ink m ints if P(yellow th e n pink) = P (g re e n th e n yellow).
b. W hat is th e least n u m b e r of p ink m ints if
P (yellow th e n pink) > P(green th e n yellow)? - T h in k A b o u t a Plan An acre of lan d is ch o sen at ra n d o m from each of the
th ree states listed in th e table at th e right. W hat is th e probability th a t all
th ree acres will be farm land?- Does the choice of an acre from one state affect the choice from the
o th er states? - How m u st you rew rite th e p ercents to use a form ula from this lesson?
- Does the choice of an acre from one state affect the choice from the
- Phone Poll A pollster conducts a survey by p h one. The probability th a t a
call does n o t result in a p erso n taking this survey is 85%. W hat is th e probability that
the pollster m akes 4 calls an d n o n e result in a p erso n taking the survey? - Open-Ended Find th e n u m b e r of left-handed stu d en ts an d th e n u m b e r of right-
h a n d e d stu d en ts in your class. Suppose your te a c h e r random ly selects one stu d en t
to take a tten d a n ce an d th e n a different s tu d en t to w ork on a problem o n th e board.
a. W hat is th e probability th a t b o th stu d en ts are left-handed?
b. W hat is th e probability th a t b o th stu d en ts are right-handed?
c. W hat is th e probability th a t th e first s tu d en t is rig h t-h an d e d a n d th e second
stu d en t is left-handed?
Alabama 27%
Florida 27%
Indiana 65%
| Lesso n 12- 8 Pr o b ab i l i t y o f Co m p o u n d Even t s^781