Tree Diagrams
Tree DiagramsAND = multiply the probabilities
Tree DiagramsAND = multiply the probabilities
OR = add the probabilities
Tree DiagramsAND = multiply the probabilities
OR = add the probabilitiese.g. 5 boy’s names and 6 girl’s names are in a hat.
Find the probability that in two draws a boy’s name and a girl’s name are chosen.
Tree DiagramsAND = multiply the probabilities
OR = add the probabilitiese.g. 5 boy’s names and 6 girl’s names are in a hat.
Find the probability that in two draws a boy’s name and a girl’s name are chosen.
B
G
115
116
Tree DiagramsAND = multiply the probabilities
OR = add the probabilitiese.g. 5 boy’s names and 6 girl’s names are in a hat.
Find the probability that in two draws a boy’s name and a girl’s name are chosen.
B
G
B
G115
116
104
106
Tree DiagramsAND = multiply the probabilities
OR = add the probabilitiese.g. 5 boy’s names and 6 girl’s names are in a hat.
Find the probability that in two draws a boy’s name and a girl’s name are chosen.
B
G
B
B
G
G
115
116
104
106
105
105
Tree DiagramsAND = multiply the probabilities
OR = add the probabilitiese.g. 5 boy’s names and 6 girl’s names are in a hat.
Find the probability that in two draws a boy’s name and a girl’s name are chosen.
B
G
B
B
G
G
115
116
104
106
105
105
Outcomes
BB
BG
GB
GG
Tree DiagramsAND = multiply the probabilities
OR = add the probabilitiese.g. 5 boy’s names and 6 girl’s names are in a hat.
Find the probability that in two draws a boy’s name and a girl’s name are chosen.
B
G
B
B
G
G
115
116
104
106
105
105
Outcomes
BB
BG
GB
GG
Probabilities
112
113
113
113
Tree DiagramsAND = multiply the probabilities
OR = add the probabilitiese.g. 5 boy’s names and 6 girl’s names are in a hat.
Find the probability that in two draws a boy’s name and a girl’s name are chosen.
B
G
B
B
G
G
115
116
104
106
105
105
Outcomes
BB
BG
GB
GG
Probabilities
112
113
113
113
GBPBGP
GBP
&
Tree DiagramsAND = multiply the probabilities
OR = add the probabilitiese.g. 5 boy’s names and 6 girl’s names are in a hat.
Find the probability that in two draws a boy’s name and a girl’s name are chosen.
B
G
B
B
G
G
115
116
104
106
105
105
Outcomes
BB
BG
GB
GG
Probabilities
112
113
113
113
GBPBGP
GBP
&
116
113
113
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
305
3025
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
W
L305
3025
294
2925
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
W
W
L
L
305
3025
294
2925
295
2924
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
W
W
L
L
305
3025
294
2925
295
2924
Outcomes
WW
WL
LW
LL
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
W
W
L
L
305
3025
294
2925
295
2924
Outcomes
WW
WL
LW
LL
Probabilities
872
17425
17425
2920
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
W
W
L
L
305
3025
294
2925
295
2924
Outcomes
WW
WL
LW
LL
Probabilities
872
17425
17425
2920
LWPWLPprizeP
1
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
W
W
L
L
305
3025
294
2925
295
2924
Outcomes
WW
WL
LW
LL
Probabilities
872
17425
17425
2920
LWPWLPprizeP
1
8725
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
W
W
L
L
305
3025
294
2925
295
2924
Outcomes
WW
WL
LW
LL
Probabilities
872
17425
17425
2920
LWPWLPprizeP
1
8725
(iii) What is the probability of winning at least one prize?
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
W
W
L
L
305
3025
294
2925
295
2924
Outcomes
WW
WL
LW
LL
Probabilities
872
17425
17425
2920
LWPWLPprizeP
1
8725
(iii) What is the probability of winning at least one prize? prizesPprizeP 011
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
W
W
L
L
305
3025
294
2925
295
2924
Outcomes
WW
WL
LW
LL
Probabilities
872
17425
17425
2920
LWPWLPprizeP
1
8725
(iii) What is the probability of winning at least one prize? prizesPprizeP 011
299
(ii) In a raffle 30 tickets are sold and there are 2 prizes.What is the probability that someone buying 5 tickets wins exactly one prize?
W
L
W
W
L
L
305
3025
294
2925
295
2924
Outcomes
WW
WL
LW
LL
Probabilities
872
17425
17425
2920
LWPWLPprizeP
1
8725
(iii) What is the probability of winning at least one prize? prizesPprizeP 011
299
Exercise 10D; odd