Class 12

Math

Algebra

Probability

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

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

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 $E_{1}$is the event that die A shows up four, $E_{2}$is the event that die B shows up two and $E_{3}$is 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.