A card is drawn from a well-shuffled deck of 52 cards and without replacing this card, a second card is drawn. Find the probability that the first card is a club and the second card is a spade.
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Six cards are drawn one by one from a set of unlimited number of cards, each card is marked with numbers `-1, `0` or `1`. Number of different ways in
Correct Answer - C `(c )` Hence the sum of the numbers on six cards vanishes. Case I : If selected `3` cards each of number `-1` or `1` i.e. Number...
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A box contains `10` tickets numbered from `1` to `10` . Two tickets are drawn one by one without replacement. The probability that the "difference bet
Correct Answer - A `(a)` `1234ul(5678910)` `1^(st)` drawn is `5`, then `2^(nd)` drawn can be `1` only. If `1^(st)` is `6`, then `2^(nd)` is `1` or `2` and so on. ltbr...
2 Answers 2 views
The probability of event `A` is `3//4`. The probability of event `B`, given that event `A` occurs is `1//4`. The probability of event `A`, given that
Correct Answer - C `(c )` `P(A)=(3)/(4)`, `P(B//A)=(1)/(4)` `P(A//B)=(2)/(3)` `P(B//A)=(P(BnnA))/(P(A))=(1)/(4)` (given) `:.P(BnnA)=(3)/(4)*(1)/(4)=(3)/(16)` Now `P(A//B)=(P(AnnB))/(P(B))=(2)/(3)`(given) `:.P(B)=(3)/(2)*(3)/(16)=(9)/(32)` `:. P(AuuB)=(3)/(4)+(9)/(32)-(3)/(16)=(24+9-6)/(32)=(27)/(32)` `:. P(A^(C )nnB^(C ))=1-P(AuuB)=1-(27)/(32)=(5)/(32)`
2 Answers 1 views
There is a box containing 30 bulbs of which 5 are defective. If two bulbs are chosen at random from the box in succession without replacing the first,
Correct Answer - `2/87`
2 Answers 1 views
Four bad eggs are mixed with 10 good ones. Three eggs are drawn one by one without replacement. Let X be the number of bad eggs drawn. Find the mean a
Correct Answer - `"Mean "=(6)/(4), "variance "=(30)/(49)`
2 Answers 2 views
A bag contains 4 green and 6 white balls. Two balls are drawn one by one without replacement. If the second ball drawn is white, what is the probabili
Correct Answer - `5/9`
2 Answers 1 views
The king, the jack and the 10 of spades are lost from a pack of 52 cards and a card is drawn from the remaining cards after shuffling. Find the probab
Correct Answer - ` (i) 26/49 (ii) 1/49 (iii) 2/49 (iv) 1/49 `
2 Answers 1 views
An urn contains 9 red, 7 white and 4 black balls. A ball is drawn at random. Find the probability that the ball drawn is (i) red (ii) white (iii) red
Correct Answer - `(i) 9/20 (ii) 7/20 (iii) 4/5 (iv) 11/20 (v) 13/20`
2 Answers 1 views
A card is drawn at random from a well shuffled deck of 2 cards. Find the probability of its being a spade or a king.
Correct Answer - `4/13`
2 Answers 1 views
Two cards are drawn at random from a pack of 52 cards one-by-one without replacement. What is the probability of getting first card
The required probability = P((The first is a red jack card and The second is a jack card) or (The first is a red non-jack card and The second is...
2 Answers 1 views