Further Tree Diagrams (AQA A-Level Mathematics): Quizzes

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Further Tree Diagrams
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How many discs are in the bag initially?

18

After the first disc is drawn, how many discs remain in the bag?

17

What is the probability of drawing a red disc on the first draw?

518\frac{5}{18}

After drawing one red disc, what is P(red on second draw)?

417\frac{4}{17}

What is the probability of selecting two red discs?

10153\frac{10}{153}

What is P(at least one green disc being selected)?

96153\frac{96}{153}

Given the first disc is blue, what is P(second disc is green)?

717\frac{7}{17}

What is P(blue disc on second draw)?

1751\frac{17}{51}

Given second disc is blue, what is P(first disc was red)?

517\frac{5}{17}

The conditional probability formula is P(A∣B)P(A|B) = ?

P(A and B)P(B)\frac{P(A \text{ and } B)}{P(B)}

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