Homework Answers 1)1 2)1 3)1 4)3 5)40/243 or.1646 6).1009023713 7)7/1024 or.0068359375.

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Homework Answers 1)1 2)1 3)1 4)3 5)40/243 or .1646 6).1009023713 7)7/1024 or .0068359375

Transcript of Homework Answers 1)1 2)1 3)1 4)3 5)40/243 or.1646 6).1009023713 7)7/1024 or.0068359375.

Page 1: Homework Answers 1)1 2)1 3)1 4)3 5)40/243 or.1646 6).1009023713 7)7/1024 or.0068359375.

Homework Answers1)1

2)1

3)1

4)3

5)40/243 or .1646

6).1009023713

7)7/1024 or .0068359375

Page 2: Homework Answers 1)1 2)1 3)1 4)3 5)40/243 or.1646 6).1009023713 7)7/1024 or.0068359375.

AT MOST/AT LEAST ProbabilityAll probability answers should be a FRACTION or DECIMAL

Between 0 (impossible) and 1(certain) !!!!

rnrrn qpC Probability Formula:

(Must be memorized!!)

n = number of attempts

r = number of times you WANT something to occur

EXACTLY means_______________________

AT MOST means _______________________

AT LEAST means_______________________

p = probability of what you WANT to occur

q = probability of what you DO NOT WANT to occur

*** p & q are SIMPLE PROBABILITIES (fraction/decimal) & will *** ***ALWAYS ADD up to 1***

Use ONLY this number for r

Use this number for r and all whole #’s less include 0

Use this number for r and all whole #’s more till you get to & include n

When there is

MORE THAN ONE r value,

you must find probability

for each value then ADD

the results!

Page 3: Homework Answers 1)1 2)1 3)1 4)3 5)40/243 or.1646 6).1009023713 7)7/1024 or.0068359375.

Team A and team B are playing in a league. They will play each other five

times. If the probability that team A wins a game is1

3 , what is the probability that team A will win at least three of the five games?

rnrrn qpC

n =

r =

p =

q =

5

At least 3→ 3, 4, 5

Wins → 1/3

2/3

________________________

243

1

3

2

3

1

243

10

3

2

3

1

243

40

3

2

3

1

05

55

14

45

23

35

C

C

C

243

51

Page 4: Homework Answers 1)1 2)1 3)1 4)3 5)40/243 or.1646 6).1009023713 7)7/1024 or.0068359375.

On any given day, the probability that the entire Watson family eats dinner

together is 2

5 . Find the probability that, during any 7-day period, the

Watsons do not eat dinner together at most 2 nights.

rnrrn qpC

n =

r =

p =

q =

7

At MOST 2→ 2, 1, 0

Do NOT eat → 3/5

2/5

________________________

0016384.5

2

5

3

0172032.5

2

5

3

0774144.5

2

5

3

70

07

61

17

52

27

C

C

C

096256.

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As shown in the accompanying diagram, a circular target with a radius of 9 inches has a bull’s-eye that has a radius of 3 inches. If five arrows randomly hit the target, what is the probability that at least four hit the bull’s-eye?

Page 6: Homework Answers 1)1 2)1 3)1 4)3 5)40/243 or.1646 6).1009023713 7)7/1024 or.0068359375.

A board game has a spinner on a circle that has five equal sectors, numbered 1, 2, 3, 4, and 5, respectively. If a player has four spins, find the probability that the player spins an even number no more than two times on those four spins.

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On mornings when school is in session in January, Sara notices that her school bus is late one-third of the time. What is the probability that during a 5-day school week in January her bus will be on time at least three times?