Worksheets — Set 15

Probability · Probability foundations

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

Warm-up

1. P(A) = 1.1, P(B) = 1.2000000000000002. If independent, P(A∩B) = ___ 2. Binomial(n=21, p=0.5): P(X = 18) = ___ 3. E[X] for X with values {17, 19, 21} and equal probability ___

_See printable PDF for diagram._

Written practice

1. P(A) = 1.05, P(B) = 1.15. If independent, P(A∩B) = ___ 2. Binomial(n=20, p=0.5): P(X = 17) = ___ 3. E[X] for X with values {16, 18, 20} and equal probability ___ 4. Variance of a fair die roll: ___ 5. Conditional: P(A|B) when P(A∩B) = 0.4 ___ 6. Identify the distribution and parameters in context. 7. P(A) = 1.2, P(B) = 1.3. If independent, P(A∩B) = ___ 8. Binomial(n=23, p=0.5): P(X = 20) = ___

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More written practice

1. E[X] for X with values {19, 21, 23} and equal probability ___ 2. Conditional: P(A|B) when P(A∩B) = 0.45999999999999996 ___ 3. P(A) = 1.35, P(B) = 1.4500000000000002. If independent, P(A∩B) = ___ 4. Binomial(n=26, p=0.5): P(X = 23) = ___ 5. E[X] for X with values {22, 24, 26} and equal probability ___ 6. Conditional: P(A|B) when P(A∩B) = 0.52 ___

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Patterns and rules

1. P(A) = 1.9000000000000001, P(B) = 2. If independent, P(A∩B) = ___ 2. Binomial(n=37, p=0.5): P(X = 34) = ___ 3. E[X] for X with values {33, 35, 37} and equal probability ___

_See printable PDF for diagram._

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Parent tip: Draw a probability table or tree