L Consolidations WEEK 1 TEXT CHAP 13 & 14 AASB 1024 TEXT CHAP 13 & 14 AASB 1024.
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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Transcript of 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
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!
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
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.
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?
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.
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?