A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking the remaining 3 cards. What is the probability that A has the joker?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
- A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking the remaining 3 cards. What is the
probability that A has the joker?
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- 3 distinct integers are chosen at random from first 20 positive integers. Compute the probability that their sum is even.
- Find the probability that the product between 8 and 16 (both inclusive) appears in a single toss of a pair of fair die.
- Find the probability that a king, ace, jack or queen appears in drawing a single card from a well shuffled deck of 52 cards.
- An employer wishes to hire 3 people from a group of 15 applications, 8 men and 7 women, all of whom are equally qualified to fill the position. If he selects 3 at random, what is the probability that:
- All 3 will be men?
- At least 1 will be woman?
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