The records of a hospital show that 10% of the cases of a certain disease are fatal. If 6 patients are suffering from the disease, then the probability that only three will die is
A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, the number is even, and B be the event, the number is red. Are A and B independent?
A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen and (2) a face card
Often it is taken that a truthful person commands, more respect in the society. A man is known to speak the truth 4 out of 5 times. He throws a die and reports that it is actually a six. Find the probability that it is actually a six. Do you also agree that the value of truthfulness leads to more respect in the society?
Let two fair six-faced dice A and B be thrown simultaneously. If E1is the event that die A shows up four, E2is the event that die B shows up two and E3is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true ?
A card is drawn at random from a well-shuffled deck of playing cards. Find the probabilitythat the card drawn is (a) a spade or an ace (b) a black king (c) neither a jack nor a king (d) either a king or a queen.
A fair die is tossed repeatedly until a six is obtained Let X denote the number of tosses required The probability that X=3 equals
One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will(i) be an ace.(ii) not be an ace.
Bag A contains 3 red and 5 black balls, while bag B contains 4 red and 4 black balls. Two balls are transferred at random from bag A to bag B and then a ball is drawn from bag B at random. If the ball drawn from bag B is found to be red, find the probability that two red balls were transferred from A to B.