Tree Diagrams Conditional Worksheet The worksheet is provided

  • Slides: 16
Download presentation
Tree Diagrams – Conditional – Worksheet The worksheet is provided in a variety of

Tree Diagrams – Conditional – Worksheet The worksheet is provided in a variety of sizes/formats.

Printing To print handouts from slides Select the slide from the left. Then click:

Printing To print handouts from slides Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

There are 5 red and 3 blue buttons in a bag. What is the

There are 5 red and 3 blue buttons in a bag. What is the probability of picking a red button? P (Red) = If I don’t put the button back, what is the probability of picking another red button. P (Red) =

a) R R R B B B There are 5 red and 3 blue

a) R R R B B B There are 5 red and 3 blue buttons in a sack. A button is taken out and not replaced. Then another button is taken out. What is the probability both buttons are blue? 1 st Event 2 nd Event Results R R B B R B

b) R R B B B There are 2 red and 6 blue buttons

b) R R B B B There are 2 red and 6 blue buttons in a sack. A button is taken out and not replaced. Then another button is taken out. What is the probability both buttons are red? What is the probability of choosing at least one red button? 1 st Event 2 nd Event Results R R B B R B

c) R R G G G There are 4 red and 5 green buttons

c) R R G G G There are 4 red and 5 green buttons in a sack. A button is taken out and not replaced. Then another button is taken out. What is the probability of choosing at least one red button? What is the probability of choosing only one red button? 1 st Event 2 nd Event Results

d) A science assessment has a practical and written test. Students have an 80%

d) A science assessment has a practical and written test. Students have an 80% chance of passing the written test. If they pass the written test there is a 60% chance they pass the practical test. If they fail the written test, there is a 30% chance they will pass the practical test. 1) 2) 3) Draw a Probability Tree to show these events. What is the probability a student passes both tests? What is the probability a student passes only one of the tests?

a) R R R B B B There are 5 red and 3 blue

a) R R R B B B There are 5 red and 3 blue buttons in a sack. A button is taken out and not replaced. Then another button is taken out. What is the probability both buttons are blue? 1 st Event 2 nd Event Results R RR R B RB R B Answers B BR BB

b) R R B B B There are 2 red and 6 blue buttons

b) R R B B B There are 2 red and 6 blue buttons in a sack. A button is taken out and not replaced. Then another button is taken out. What is the probability both buttons are red? 2/56 What is the probability of choosing at least one red button? 26/56 1 st Event 2 nd Event Results R RR R B RB R B Answers B BR BB

c) R R G G G There are 4 red and 5 green buttons

c) R R G G G There are 4 red and 5 green buttons in a sack. A button is taken out and not replaced. Then another button is taken out. What is the probability of choosing at least one red button? 52/72 What is the probability of choosing only one red button? 40/72 1 st Event 2 nd Event Results R R G R RG GR At least one red: G Answers RR G GG

c) R R G G G There are 4 red and 5 green buttons

c) R R G G G There are 4 red and 5 green buttons in a sack. A button is taken out and not replaced. Then another button is taken out. What is the probability of choosing at least one red button? 52/72 What is the probability of choosing only one red button? 40/72 1 st Event 2 nd Event Results R R G R RG GR Only one red: G Answers RR G GG

d) A science assessment has a practical and written test. Students have an 80%

d) A science assessment has a practical and written test. Students have an 80% chance of passing the written test. If they pass the written test there is a 60% chance they pass the practical test. If they fail the written test, there is a 30% chance they will pass the practical test. 1) 2) 3) Draw a Probability Tree to show these events. What is the probability a student passes both tests? What is the probability a student passes only one of the tests? Written Test 0. 8 0. 2 Answers Practical Test 0. 48 0. 38 Results 0. 6 P PP 0. 8 x 0. 6 = 0. 48 0. 4 F PF 0. 8 x 0. 4 = 0. 32 0. 3 P FP 0. 2 x 0. 3 = 0. 06 0. 7 F FF 0. 2 x 0. 7 = 0. 14 P F

Conditional Tree Diagrams

Conditional Tree Diagrams

Conditional Tree Diagrams

Conditional Tree Diagrams

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk

Tree Diagrams 1 Tree Diagrams A tree diagramTree Diagrams 1 Tree Diagrams A tree diagram
CONDITIONAL CLAUSES Conditional Sentences First Conditional Real ConditionalCONDITIONAL CLAUSES Conditional Sentences First Conditional Real Conditional
Tree Diagrams Mixed Worksheet A The worksheet isTree Diagrams Mixed Worksheet A The worksheet is
Tree Diagrams Unconditional Worksheet A The worksheet isTree Diagrams Unconditional Worksheet A The worksheet is
Probability Tree Diagrams What are Tree Diagrams AProbability Tree Diagrams What are Tree Diagrams A
Probability Tree Diagrams What are Tree Diagrams AProbability Tree Diagrams What are Tree Diagrams A
Probability u Tree Diagrams Tree Diagrams u ShowsProbability u Tree Diagrams Tree Diagrams u Shows
Probability u Tree Diagrams Tree Diagrams u ShowsProbability u Tree Diagrams Tree Diagrams u Shows
Year 10 Probability Tree Diagrams Tree diagrams WithYear 10 Probability Tree Diagrams Tree diagrams With
Probability Tree Diagrams What are Tree Diagrams AProbability Tree Diagrams What are Tree Diagrams A
Probability Tree Diagrams Tree diagrams can be usedProbability Tree Diagrams Tree diagrams can be used
UNEQUAL COUPLING TREE DIAGRAMS SPLITTING DIAGRAMS aka TREEUNEQUAL COUPLING TREE DIAGRAMS SPLITTING DIAGRAMS aka TREE
Probability Tree Diagrams In probability tree diagrams asProbability Tree Diagrams In probability tree diagrams as
Probability Tree Diagrams What are Tree Diagrams AProbability Tree Diagrams What are Tree Diagrams A
Probability u Tree Diagrams Tree Diagrams u ShowsProbability u Tree Diagrams Tree Diagrams u Shows