James wants to find the probability of rolling two sixes on two fair dice. He starts to draw this tree diagram. Copy and complete the tree diagram. Calculate the probability of rolling two sixes.

If we roll a die, then 1 , 2 , 3 , 4 , 5 and 6 are equally likely to appear. As these are the only possible outcomes, each has probability of 1 6 Probability of getting 6 is 1 6 Probability of not getting 6 is 5 6 If we roll two dice at once, or roll one die, and then the other. In the tree diagram, we will consider both dice rolling separately. Here we illustrate the first die rolling. This is depicted in the diagram by the two lines that branch out. It is important to write the probabilities on the branches of the diagram as we go. Now we see the results of the second die rolling. If 6 came up on the first throw, then the possible outcomes for the second throw is getting 6 or not getting 6 In a similar way if not 6 came up first, then either 6 or not 6 could appear on the second throw. We represent all of this information by drawing the branches of second die roll of both branches from the first roll. In the following diagram not 6 is represented as 6 ' Number of outcomes present in rolling a two dice is 6 × 6 = 36 Probability of rolling two sixes is 1 36

EASY

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Write the number of sample space for rolling two dice using tree diagram.

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Important Questions on Probability

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Mathematics>Algebra>Probability>Diagrammatic Representations

Four cards marked A, B, C and D are in a container. A card is drawn, the letter noted, and then it is replaced. Another card is then drawn and the letter noted to make a two-letter combination. Draw a tree diagram to show the sample space in this experiment.

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Mathematics>Algebra>Probability>Diagrammatic Representations

Write the number of sample space for tossing three coins using tree diagram.

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Mathematics>Algebra>Probability>Diagrammatic Representations

A purse contains five coins, each of which may be a rupee or a

50

paise coins, two are drawn and found to be rupees, Find the probable value of the remaining coins.

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Mathematics>Algebra>Probability>Diagrammatic Representations

Four cards marked A, B, C and D are in a container. A card is drawn, the letter noted, and then it is replaced. Another card is then drawn and the letter noted to make a two-letter combination. What is the probability of getting the letter combination BD?

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Mathematics>Algebra>Probability>Diagrammatic Representations

Sandra has a bag containing three coloured counters: red, blue and green. How many possible outcomes are there for the two draws?

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Mathematics>Algebra>Probability>Diagrammatic Representations

James wants to find the probability of rolling two sixes on two fair dice.
He starts to draw this tree diagram.

Question Image

Copy and complete the tree diagram.
Calculate the probability of rolling two sixes.

EASY

Mathematics>Algebra>Probability>Diagrammatic Representations

A bag contain eight blue marbles and two red marbles . Two marbles are drawn at random. The first marble is replaced before the second is drawn. Draw a tree diagram to show all possible outcomes.

HARD

Mathematics>Algebra>Probability>Diagrammatic Representations

A bag contains

3

red and

3

green balls and a person draws out

3

at random. He then drops

3

blue balls into the bag and again draws out

3

at random. The chance that the

3

later balls being all of different colors is

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Mathematics>Algebra>Probability>Diagrammatic Representations

Sandra has a bag containing three coloured counters: red, blue and green.Draw a tree diagram to show the possible outcomes when one Counter is drawn from the bag at random, then returned to the bag before another counter is drawn at random.

HARD

Mathematics>Algebra>Probability>Diagrammatic Representations

A bag contains

5

balls of unknown colour; a ball is drawn and replaced twice and in each case is found to be red. If two balls are now drawn simultaneously, find the chance that both are red.

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Mathematics>Algebra>Probability>Diagrammatic Representations

Sandra has a bag containing three coloured counters: red, blue and green. How many outcomes produce two counters the same colour?

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Mathematics>Algebra>Probability>Diagrammatic Representations

Sandra has a bag containing three coloured counters: red, blue and green. How many outcomes do not contain the blue counter?

HARD

Mathematics>Algebra>Probability>Diagrammatic Representations

A bag contains