Step: 1

A tree diagram displays all the possible choices where each branch represents a choice.

Step: 2

In the tree diagram, there are 9 different branches representing different choices available.

Step: 3

So, there are 9 different ways in which Edward can choose a tie.

Correct Answer is : 9

Step: 1

Total number of possible ways = (Number of ways to go the school from the parlor) × (Number of ways to go to playground from the school)

Step: 2

= 2 × 3

[Substitute.]

Step: 3

= 6

[Multiply.]

Step: 4

Sunny can go to the playground from parlor through his school in 6 ways.

Correct Answer is : 6

Step: 1

Number of ways of choosing a pair = (Number of choices for choosing a gold coin) × (Number of choices for choosing a silver coin)

[Use the counting principle.]

Step: 2

= 2 × 3 = 6

[Substitute and multiply.]

Step: 3

So, there are 6 different ways of choosing a pair of a gold coin and a silver coin.

Correct Answer is : 6

Step: 1

Number of ways of making a pair = (Number of boys) × (Number of girls)

[Use counting principle.]

Step: 2

= 13 × 9 = 117

[Substitute and simplify.]

Step: 3

Number of pairs that can be formed is 117.

Correct Answer is : 117

Step: 1

Number of ways of choosing a shirt = 6

Step: 2

Number of ways of choosing a trouser = 5

Step: 3

Number of ways that Tony can wear = (Number of ways of choosing a shirt) × (Number of ways of choosing a trouser)

[Use the counting principle.]

Step: 4

= 6 × 5 = 30

[Substitute and multiply.]

Step: 5

So, he can wear these shirts and trousers in 30 ways.

Correct Answer is : 30

Step: 1

Number of ways of choosing a pair = (Number of greeting cards available) × (Number of gift items available)

[Use the counting principle.]

Step: 2

= 8 × 5 = 40

[Substitute and multiply.]

Step: 3

So, there are 40 different ways of choosing a card and a gift item.

Correct Answer is : 40

Step: 1

An outcome is the result of a single trial of an experiment.

Step: 2

The possible outcomes when a single coin is tossed are Head(H) or Tail(T).

Step: 3

The possible outcomes when two coins are tossed simultaneously are HH, HT, TH, and TT.

Correct Answer is : HH, HT, TH, and TT

Step: 1

Draw the tree diagram to find the sample space.

Step: 2

The possible outcomes are (H, C), (H, S), (GS, C), (GS, S), (BS, C), (BS, S), (PS, C) and (PS, S).

Step: 3

So, there are 8 possible combinations of sandwich and ice cream that Joe can serve to each of his guests.

Correct Answer is : 8

Step: 1

The possible outcomes are HH, HT, TH, TT.

Step: 2

So, there are 4 possible outcomes and only the Tree diagram 3 shows them correctly.

Correct Answer is : Tree diagram 3

Step: 1

The possible outcomes are HH, HT, TH, TT.

Step: 2

So, there are 4 possible outcomes and only the Tree diagram 3 shows them correctly.

Correct Answer is : Tree diagram 3

Step: 1

The possible outcomes are GG, GR, RG and RR.

Step: 2

So, the sample space is (GG, GR, RG, RR).

Correct Answer is : GG, GR, RG, RR

Step: 1

The possible outcomes are (2, 5), (2, 6), (2, 1), (2, 0), (3, 5), (3, 6), (3, 1) and (3, 0).

Step: 2

So, the number of possible outcomes is 8.

Correct Answer is : 8

Step: 1

Each student can get 1^{st}, 2^{nd} or 3^{rd} prize.

Step: 2

Make a tree diagram, which represents the prizes given to each of the students as shown below.

Step: 3

The branches in the tree diagram represent the different ways in which the prizes can be distributed.

Step: 4

So, there are 9 possible ways in which the prizes can be distributed to the students.

Correct Answer is : 9

- Probability of an Event Represented by a Number From 0 to 1-Gr 7-Solved Examples
- Identifying Equally Likely Outcomes-Gr 7-Solved Examples
- Likelihood of an Event-Gr 7-Solved Examples
- Probabilities of Compound Events-Gr 7-Solved Examples
- Making Predictions-Gr 7-Solved Examples
- Making Inferences from Data of Two Populations-Gr 7-Solved Examples

- Probability