Worksheets — Set 9

Probability · Probability foundations

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

Warm-up

1. P(A) = 0.8, P(B) = 0.9. If independent, P(A∩B) = ___ 2. Binomial(n=15, p=0.5): P(X = 12) = ___ 3. E[X] for X with values {11, 13, 15} and equal probability ___

_See printable PDF for diagram._

Written practice

1. P(A) = 0.75, P(B) = 0.8500000000000001. If independent, P(A∩B) = ___ 2. Binomial(n=14, p=0.5): P(X = 11) = ___ 3. E[X] for X with values {10, 12, 14} and equal probability ___ 4. Variance of a fair die roll: ___ 5. Conditional: P(A|B) when P(A∩B) = 0.28 ___ 6. Identify the distribution and parameters in context. 7. P(A) = 0.9000000000000001, P(B) = 1. If independent, P(A∩B) = ___ 8. Binomial(n=17, p=0.5): P(X = 14) = ___

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More written practice

1. E[X] for X with values {13, 15, 17} and equal probability ___ 2. Conditional: P(A|B) when P(A∩B) = 0.33999999999999997 ___ 3. P(A) = 1.05, P(B) = 1.15. If independent, P(A∩B) = ___ 4. Binomial(n=20, p=0.5): P(X = 17) = ___ 5. E[X] for X with values {16, 18, 20} and equal probability ___ 6. Conditional: P(A|B) when P(A∩B) = 0.4 ___

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Patterns and rules

1. P(A) = 1.6, P(B) = 1.7000000000000002. If independent, P(A∩B) = ___ 2. Binomial(n=31, p=0.5): P(X = 28) = ___ 3. E[X] for X with values {27, 29, 31} and equal probability ___

_See printable PDF for diagram._

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Parent tip: Draw a probability table or tree