12X1 T09 02 tree diagrams (2010)

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