Presentation on theme: "Probability Tree diagrams"— Presentation transcript:
1 Probability Tree diagrams ExampleA coin is tossed twice. Complete the probability tree diagram showing all the possible outcomes and the probability of each.What is the probability of the two tosses giving the same result?1st throw2nd throwHeadHead, HeadHeadTailHead, TailHeadTail, HeadTailTailTail, Tail
2 What is the probability of throwing a total of two fours? No fours? ExampleA six sided dice is thrown twice. Complete the tree diagram showing all the probabilities1st throw2nd throwfourfour, fourfourNot fourfour, Not fourFourNot four, fourNot 4Not fourNot four, Not fourWhat is the probability of throwing a total oftwo fours?No fours?At least one four?
3 ExampleIt is found that the probability of a particular brand of firework will not light is .John buys two. Copy and complete the tree diagram and use it to find the probability that both of his fireworks light.LightsFailsFirst Fireworksecond Firework
4 ExampleWhen cultivating fruit bushes by planting cuttings the probability that a cutting produces a bush is 3/5. Find the probabilities of 0, 1, 2 bushes being produced, if two cuttings are planted.1st cutting2nd cuttingBushBush, BushBushNo BushBush, No BushBushNo Bush, BushNo BushNo BushNo Bush, No Bush
5 ExampleA box contains seven red and three blue pens. Jane takes a pen from the box and keeps it; then Susan takes a pen from the box. Both girls make their selection without looking at the colour.Draw a tree diagram to show the possible colours each has selected.Use your tree diagram to find the probability that Jane andSusan(i) each select a red pen(ii) select pens of the same colour.