Six black balls and four white balls are placed in an urn. Two balls are then drawn in succession. What is the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first?

Q: An urn contains 11 red, 10 white and 37 blue marbles. A child selects two marbles at random and…

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Q: If two cards are selected from a standard deck of 52 cards and are not replaced after each draw,…

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Q: An urn contains Red and Blue balls. 91 balls are red (R) and 86 balls are blue (B). Draw two balls,…

A: An urn contains Red and Blue balls. 91 balls are red (R) and 86 balls are blue (B). Sampling is with…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: If one card is drawn at random from a standard 52 card deck, find the probability that the card is…

A: It is given that the one card is drawn at random from the pack of 52 cards.

Q: Three cards are drawn from a deck without replacement. Find the probability the first card is a…

A: the first card is a spade, the second card is a club, the third card is a black card.

Q: An urn contains 5 yellow marbles, and 4 green marbles. If one marble is selected. Determine the…

A: Given,no.of yellow marbles=5no.of green marbles=4total no.of marbles=9

Q: An urn contains 39 red, 29 white and 16 blue marbles. A child selects two marbles at random and…

A: Total Red Marbles = R=39 Total white Marbles = W=29 Total blue Marbles = B=16 Total Marbles=84

Q: An urn contains 5 red and 7 white balls. Two balls are drawn in succession without replacement. If…

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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.