Chapter 6 : Probability

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E: son on one end,

F: father in middle.

Determine P(E|F)

Determine P(E|F)

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- 0.33, 0.34
- 0.88, 0.98
- 0.5, 0.33
- 0.78, 0.67

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E : 4 appears on the third toss, F : 6 and 5 appears respectively on first two tosses.

Determine 36P where P(E|F)

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(a) Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.

(b) Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.

- 0.33, 0.11
- 0.51, 0.76
- 0.56, 0.43
- 0.11, 0.65

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(i) P(A∩B)

(ii) P(A|B)

(iii) P(B|A)

- 0.80, 0.98, 0.87
- 0.58, 0.58, 0.83
- 0.42, 0.67, 0.57
- 0.36, 0.80, 0.66

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(i) E : head on third toss, F : heads on first two tosses

(ii) E : at least tow heads, F : at most two heads

(iii) E : at most two tails, F : at least one tail

Determine P(E|F)

- 0.50, 0.42, 0.85
- 0.85, 0.42, 0.30
- .0.42, 0.46, 0.47
- 0.42, 0.50, 0.85

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- A⊂B but A≠B
- A=B
- A∩B=Φ
- P(A)=P(B)

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(i) E : tail appears on one coin, F : one coin shows head

(ii) E : no tail appears, F : no head appears

Determine P(E|F)

- 1, 0.2
- 0, 2
- 1, 3
- 1, 0

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(i) P(A∩B)

(ii) P(A|B)

(iii) P(A∪B)

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(i) P(E|F) and P(F|E)

(ii) P(E|G) and P(G|E)

(iii) P((E∪F)|G) and P((E∩F)|G)

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- 0
- 12
- Not defined
- 1

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