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Sample space: The collection of all possible outcomes of a random experiment is called a sample space. Event: Any possible outcome or combination of outcomes of a random experiment is called an event. Equally likely events: Two or more events of a random experiment are said to be equally likely events if each one of them have an equal chance of occurrence. Probability of an event: The chance of occurrence of the event expressed quantitatively is known as the probability of an event and denoted by P E.
A number is chosen at random from the numbers -3, -2,-1, 0, 1, 2, 3. What will be the probability that square of this number is less than or equal to 1?
Two different dice are thrown together. Find the probability that the numbers obtained i have a sum less than7 ii have a product less than 16 iii is a doublet of odd numbers. Peter throws two different dice together and finds the product of the two numbers obtained. Rina throws a die and squares the number obtained. Who has the better chance to get the number 25? This theory has extensive use as one of the basic tools in statistics and wide range of applications in Science, engineering, biological science, medical, commerce, weather forecasting etc.
Videos related to Ex Explanation is in simple language, so that students can understand easily. What do you understand by Random Experiment? Random Experiment: A random experiment is one in which the exact outcome cannot be predicted. What is meant by Trial in Probability? Trial: Performing a random experiment is called a trial.
What is meant by Outcomes? Outcomes: The result of a random experiment is called an outcome. What is Sample space in terms of Probability?
What are Events? Which events are called Equally likely events? What is meant by Probability of an event? Historical facts! Find the probability of getting i a prime number ii a number lying between 2 and 6 ill an odd number Solution:. One card is drawn from a well-shuffled deck of 52 cards.
Find the probability of getting i a king of red colour ii a face card iii a red face card iv the jack of hearts v a spade vi the queen of diamonds Solution:. Five cards � the ten, jack, queen, king and ace of diamonds, are well shuffled with their face downwards. One card is then picked up at random. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.
One bulb is drawn at random from the lot. What is the probability that this bulb is defective? Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective? A box contains 90 discs which are numbered from 1 to If one disc is drawn at random from the box, find the probability that it bears i a two digit number. A child has a die whose six faces show the letters as given below: The die is thrown once.
What is the probability of getting i A? Suppose you drop a die at random on the rectangular region shown in figure. What is the probability that it will land inside the circle with diameter 1 m? A lot consists of ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that i she will buy it? Two dice, one blue and one grey, are thrown at the same time.
Now i Complete the following table: ii A student argues that-there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and Do you agree with this argument? Justify your answer. A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result, i. Calculate the probability that Hanif will lose the game.
A die is thrown twice. What is the probability that i 5 will not come up either time? Which of the following arguments are correct and which are not correct? Give reasons for your answer.
Let n be the total number of trails. The empirical probability of an event E happening, is given by. Probability of Impossible and Sure Events The probability of an event which is impossible to occur is 0 and such an event is called impossible event, i.
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