Worksheets — Set 5

Probability · Probability foundations

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. P(A) = 0.6000000000000001, P(B) = 0.7000000000000001. If independent, P(A∩B) = ___ 2. Binomial(n=11, p=0.5): P(X = 8) = ___ 3. E[X] for X with values {7, 9, 11} and equal probability ___

_See printable PDF for diagram._

Written practice

1. P(A) = 0.55, P(B) = 0.65. If independent, P(A∩B) = ___ 2. Binomial(n=10, p=0.5): P(X = 7) = ___ 3. E[X] for X with values {6, 8, 10} and equal probability ___ 4. Variance of a fair die roll: ___ 5. Conditional: P(A|B) when P(A∩B) = 0.2 ___ 6. Identify the distribution and parameters in context. 7. P(A) = 0.7, P(B) = 0.8. If independent, P(A∩B) = ___ 8. Binomial(n=13, p=0.5): P(X = 10) = ___

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More written practice

1. E[X] for X with values {9, 11, 13} and equal probability ___ 2. Conditional: P(A|B) when P(A∩B) = 0.26 ___ 3. P(A) = 0.8500000000000001, P(B) = 0.9500000000000001. If independent, P(A∩B) = ___ 4. Binomial(n=16, p=0.5): P(X = 13) = ___ 5. E[X] for X with values {12, 14, 16} and equal probability ___ 6. Conditional: P(A|B) when P(A∩B) = 0.32 ___

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Patterns and rules

1. P(A) = 1.4000000000000001, P(B) = 1.5. If independent, P(A∩B) = ___ 2. Binomial(n=27, p=0.5): P(X = 24) = ___ 3. E[X] for X with values {23, 25, 27} and equal probability ___

_See printable PDF for diagram._

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Parent tip: Draw a probability table or tree