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Determine P(E|F) Mother, father and so...

Determine P(E|F)
Mother, father and son line up at random for a family picture
E : son on one end, F : father in middle

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The correct Answer is:
(i) 1, (ii) 0
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In each case determine wheather the given values can be looked upon as the values of a probability distribution of a random variable which can take up only the values 1,2,3 and 4 and explain your answer : f(1)=0.26,f(2)=0.26,f(3)=0.26, f(4)=0.22 .

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Determine P" "(E|F) in : A coin is tossed three times, where (i) E : Head on third toss, F : heads on first two tosses (ii) E : at least two heads, F : at most two heads (iii) E : at most two tails, F : at least one tail

One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent ? (i) E : 'the card drawn is a spade F: 'the card drawn is an ace' (ii) E : 'the card drawn is black' F: 'the card drawn is a king' (iii) E: 'the card drawn is a king or queen' F: 'the card drawn is a queen or jack'.

XY is a straight line parallel to the side MT of the parallelogram MNOT , which intersects the side MN at X and the side TO at Y.E and F are two points on XY . If ME and TF are extended, they intersect at P and the extended NE and OF intersect each other at Q . Prove that PQ||MN||TO .

Draw two triangles ABC and DBC on the same base and between the same parallels as shown in the figure with P as the point of intersection of AC and BD. Draw CE || BA and BF || CD such that E and F lie on line AD. Can you show ar(DeltaPAB) = ar(DeltaPDC) Hint : These triangles are not congruent but have equal areas.

The age of my father is 48 years, age of my mother is 42 years, age of my elder brother is 15 years and my age is 12 years. Hence, the ratio of the ages of my father, mother, brother and myself is 48 : 42 : 15 : 12 i.e. square:square:square:square

D , E ,a n dF are the middle points of the sides of the triangle A B C , then (a) centroid of the triangle D E F is the same as that of A B C (b) orthocenter of the tirangle D E F is the circumcentre of A B C

NCERT BANGLISH-PROBABILITY-EXERCISE 3.1
  1. Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(...

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  2. Compute P(A|B), if P(B) = 0.5 and P(A cap B) = 0.32

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  3. If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4, find P(A cap B)

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  4. Evaluate P(A cup B), if 2P(A) = P(B) =(5)/(13) and P(A|B)=(2)/(5).

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  5. If P(A)=(6)/(11), P(B)=(5)/(11) and P(A cup B)=(7)/(11),find P(A cap B...

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  6. Determine P(E|F) A coin is tossed three times, where (i) E : head...

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  7. Determine P(E|F) Mother, father and son line up at random for a fami...

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  8. Determine P(E|F) A die is thrown three times, E : 4 appears on th...

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  9. Determine P(E|F) Mother, father and son line up at random for a fami...

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  10. A black and a red dice are rolled. (a) Find the conditional probabi...

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  11. A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {...

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  12. Assume that each born child is equally likely to be a boy or a girl. I...

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  13. An instructor has a question bank consisting of 300 easy "True" // "Fa...

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  14. Given that the two numbers appearing on throwing two dice are differen...

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  15. Consider the experiment of throwing a die, if a multiple of 3 comes up...

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  16. Choose the correct answer If P(A)=(1)/(2), P(B) = 0, then P(A|B) is

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  17. Choose the correct answer If A and B are events such that P(A|B) = P...

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