Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children.
List the eight elements in the sample space whose outcomes are all possible genders of the three children.

Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children.
Write each of the following events as a set and find its probability.
(a) The event that exactly one child is a girl.
(b) The event that atleast two children are girls.
(c) The event that no child is a girl.

The probability that at least one of the events A and B occurs is 0.6. If A and B occurs simultaneously with probability 0.2, then find \(P(\overline { A } )+P(\overline { B } ).\)

One urn contains two black balls (labelled B₁ and B₂) and one white (W) ball. A second urn contains one black (B) ball and two white balls (labelled W₁ and W₂ ). Suppose the following experiment is performed.
One of the two urns is chosen at random. Next , a ball is randomly chosen from the urn. Then, a second ball is chosen at random from the same urn without replacing the first ball. What is the probability that two balls of opposite colour are chosen?

If A and B are two events having \(P(A\cup B)=\frac { 1 }{ 2 } \ and\ P(\overline { A } )=\frac { 2 }{ 3 } ,\ then\ find\ P(\overline { A } \cap B).\)

While suffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of different colours.

Check whether the following probabilities P(A) and P(B) are consistently defined
P(A) = 0.5, P(B) = 0.4, \(P(A\cup B)\) = 0.8

If the letters of the word ALGORITHM are arranged at random in a row, what is the probability the letters GOR must remain together as a unit?

A single letter is selected at random from the word 'PROBABILITY', then find the probability that letter is vowel. 

Three digit numbers are formed using the digits 0,2,4,6,8.A number is chosen at random out of these numbers.What is the probability that this number has the same digits?