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Probability Tree Diagrams – Demonstration

Probability Tree Diagrams – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class. Ash flips a coin and Peter rolls a dice. Unconditional Tree Diagrams. These are independent events.

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Probability Tree Diagrams – Demonstration

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  1. Probability Tree Diagrams – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

  2. Ash flips a coin and Peter rolls a dice. Unconditional Tree Diagrams These are independent events. What is the probability the result is tails and a 6? Coin Flip Dice Roll Results × = H6 6 Heads AND a 6 H × = H1-5 1-5 × = T6 6 T × = T1-5 1-5

  3. Unconditional Tree Diagram There are black and white marbles in the box. ① Box & Marbles One is picked – and replaced – then another is picked. What is the probability both picks are the same colour? P (BB or WW) = 1st Pick 2nd Pick Result BB Black Black White BW WB Black White White WW

  4. Unconditional Tree Diagram The probability Jill passes her Geography test is 0.7 The probability Jill passes her Science test is 0.6 What is the probability she passes only one of the tests? ② P(PF or FP) = = Geography Test Science Test Result PP Pass Pass Fail PF FP Pass Fail Fail FF

  5. Conditional Tree Diagram Woodley United will play two matches against Enfield Wanderers. ③ The probability they win the 1st match is . If they win the 1st match, the probability of winning the 2nd match is . If they lose the 1st match, the probability of winning the 2nd match is . What is P(Win both matches)? 1st Match 2nd Match Result P(WW) = WW Win Win Lose WL Why would the probability change? LW Win Lose Lose LL

  6. Conditional Tree Diagram There are black and white marbles in the box. ④ Box & Marbles One is picked – and not replaced – then another is picked. P(1+ Black) = What is the probability one or more black marbles are picked? P(Same colour) = What is the probability two marbles of the same colour are picked? 1st Pick 2nd Pick Result BB Black Black White BW WB Black White White WW

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

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