If A and B are events such that P(A′∪B′)=43,P(A′∩B′)=41 and P(A)=31, then find the value of P(A′∩B)
Complete the following statements :
(i) Probability of an event E + Probability of the event 'not E' = _____________ .
(ii) The probability of an event that cannot happen is________ Such an event is called __________ .
(iii) The probability of an event that is certain to happen is ______. Such an event is called __________ .
(iv) The sum of the probabilities of all the elementary events of an experiment is __________ .
(v) The probability of an event is greater than or equal to ________ and less than or equal to _________ .
A bag contains 9 discs of which 4 are red. 3 are blue and 2 are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag.Calculate the probability that it will be (i) red. (ii) yellow, (iii) blue, (iv) not blue,(v) either red or yellow.
A lot consists of 144 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?(ii) She will not buy it ?
Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see Figure). What is the probability that the fish taken out is a male fish?
Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?
A coin is tossed three times, consider the following events. A : ‘No head appears’, B: ‘Exactly one head appears’ and C: ‘Atleast two appear’. Do they form a set of mutually exclusive and exhaustive events?
A bag contains W white and 3 black balls. Balls are drawn one by one without replacement till all the black balls are drawn. Then find the probability that this procedure for drawing the balls will come to an end at the rth draw.
(i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective ?