Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1
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



  1. P (dim e th e n nickel)

  2. P(penny then dime)

  3. P(penny then nickel)

  4. 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)

  5. 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?

  6. 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.


  1. Toss a penny. Then toss a nickel.

  2. Pick a n am e from a hat. W ithout replacem ent, pick a different nam e.

  3. Pick a ball from a basket of yellow an d p ink balls. R eturn th e ball a n d pick again.

  4. 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.

  5. 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)?

  6. 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?



  7. 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?

  8. 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
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