Given two events A an... - Probability

Q.) Given two events A and B. If odds against A are as 2:1 and those in favour of A B are as 3:1, then

[A]1/2≤P(B)≤3/4

[B]5/12≤P(B) ≤3/4

[C]1/4≤P(B) ≤3/5

[D]none of these

Probability 📚

Given two events A and B. If odds against A are as 2:1 and those in favour of A B are as 3:1, then ...

The probability that a marksman will hit a target is given as 1/5. Then the probability that at leas ...

A six-faced dice is so biased that it is twice as likely to show an even number as an odd number whe ...

A student appears for tests I, II and III. The student is successful if he passes either in tests I ...

A problem in mathematics is given to three students A, B, C and their respective probability of solv ...

The probability that in a family of 5 members, exactly two members have birthday on Sunday is ...

Three houses are available in a locality. Three persons apply for the houses. Each applies for one h ...

The numbers 1, 2, 3, ..., n are arranged in random order. The probability that the digits 1, 2, 3, . ...

A die is thrown a fixed number of times. If probability of getting even number 3 times is same as th ...

A pair of four dice is thrown independently three times. The probability of getting a score of exact ...

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probabili ...

Words from the letters of the word PROBABILITY are formed by taking all letters at a time. The proba ...

A class consists of 80 students, 25 of them are girls and 55 are boys. If 10 of them are rich and th ...

Let A, B, C, D be independent events such that P(A)=1/2, P(B)= 1/3, P(C) = 1/5 and P(D) = 1/6. Then ...

A sample space consists of 3 sample points with associated probabilities given as 2p, p², 4p-1. Then ...

South African cricket captain lost the toss of a coin 13 times out of 14. The chance of this happeni ...

Events A and C are independent. If the probabilities relating A, B and C are P(A)=1/5, P(B)=1/6; P(A ...

There are only two women among 20 persons taking part in a pleasure trip. The 20 persons are divided ...

Let A and B be two events. Suppose P(A)=0.4, P(B)= p and P(A U B)=0.7. The value of p for which A an ...

Five different games are to be distributed among 4 children randomly. The probability that each chil ...

A drawer contains 5 brown socks and 4 blue socks well mixed. A man reaches the drawer and pulls out ...

Two dices are rolled one after the other. The probability that the number on the first is smaller th ...

A natural number is chosen at random from the first 100 natural numbers. The probability that (X + 1 ...

A four-figure number is formed of the figures 1, 2, 3, 5 with no repetitions. The probability that t ...

Twelve balls are distributed among three boxes. The probability that the first box contains three ba ...

A box contains 2 black, 4 white and 3 red balls. One ball is drawn at random from the box and kept a ...

A cricket club has 15 members, of whom only 5 can bowl. If the names of 15 members are put into a bo ...

Three integers are chosen at random from the first 20 integers. The probability that their product i ...

There are 20 cards. Ten of these cards have the letter 'I' printed on them and the other 10 have the ...

The chance of an event happening is the square of the chance of a second event but the odds against ...

If a party of n persons sit at a round table, then the odds against two specified individuals sittin ...

The sum of two positive quantities is equal to 2n. The probability that their product is not less th ...

A bag contains an assortment of blue and red balls. If two balls are drawn at random, the probabilit ...

Dialing a telephone number an old man forgets the last two digits remembering only that these are di ...

The probability that a teacher will give an unannounced test during any class meeting is 1/5. If a s ...

A box contains tickets numbered from 1 to 20. Three tickets are drawn from the box with replacement. ...

An unbiased coin is tossed n times. If the probability that head occurs 6 times is equal to the prob ...

One ticket is selected at random from 100 tickets numbered 00, 01, 02, ..., 98, 99. If x₁ and x₂ den ...

Let A and B be two events such that P(A∩B')= 0.20, P(A'∪B)=0.15, P(A'∩B')=0.1, then P(A|B) is equal ...

A and B toss a fair coin each simultaneously 50 times. The probability that both of them will not ge ...

Cards are drawn one-by-one at random from a well-shuffled pack of 52 playing cards until 2 aces are ...

A father has 3 children with at least one boy. The probability that he has 2 boys and 1 girl is ...

Two players toss 4 coins each. The probability that they both obtain the same number of heads is ...

In a game called 'odd man out' m(m > 2) persons toss a coin to determine who will buy refreshments f ...

If a is an integer lying in [-5, 30], then the probability that the graph of y = x^2 + 2(a + 4)x - 5 ...

2n boys are randomly divided into two subgroups containing n boys each. The probability that the two ...