Worksheets — Set 19
Probability · Probability foundations
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. P(A) = 1.3, P(B) = 1.4. If independent, P(A∩B) = ___ 2. Binomial(n=25, p=0.5): P(X = 22) = ___ 3. E[X] for X with values {21, 23, 25} and equal probability ___
_See printable PDF for diagram._
Written practice
1. P(A) = 1.25, P(B) = 1.35. If independent, P(A∩B) = ___ 2. Binomial(n=24, p=0.5): P(X = 21) = ___ 3. E[X] for X with values {20, 22, 24} and equal probability ___ 4. Variance of a fair die roll: ___ 5. Conditional: P(A|B) when P(A∩B) = 0.48 ___ 6. Identify the distribution and parameters in context. 7. P(A) = 1.4000000000000001, P(B) = 1.5. If independent, P(A∩B) = ___ 8. Binomial(n=27, p=0.5): P(X = 24) = ___
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More written practice
1. E[X] for X with values {23, 25, 27} and equal probability ___ 2. Conditional: P(A|B) when P(A∩B) = 0.54 ___ 3. P(A) = 1.55, P(B) = 1.65. If independent, P(A∩B) = ___ 4. Binomial(n=30, p=0.5): P(X = 27) = ___ 5. E[X] for X with values {26, 28, 30} and equal probability ___ 6. Conditional: P(A|B) when P(A∩B) = 0.6 ___
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Patterns and rules
1. P(A) = 2.1, P(B) = 2.2. If independent, P(A∩B) = ___ 2. Binomial(n=41, p=0.5): P(X = 38) = ___ 3. E[X] for X with values {37, 39, 41} and equal probability ___
_See printable PDF for diagram._
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Stretch
1. P(A) = 2.5, P(B) = 2.6. If independent, P(A∩B) = ___ 2. Binomial(n=49, p=0.5): P(X = 46) = ___
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Parent tip: Draw a probability table or tree