Engineering Mat...

What is the probability of getting more than one tail given that at least one coin is head when 4 coins are tossed?

P(E) denotes the probability of the event E and P'(E) denote the complement probability of event E. P(A) = \(\frac{3}{4}\) and P(B) = \(\frac{1}{2}\) also A and B are mutually exhaustive events. Which of the following is/are correct?

In an examination, 20% of the students have failed in a Computer Networks, 30% of the students have failed in Computer Architecture and 10% in Computer Networks and Computer Architecture. If a student is selected at random, then what is the probability that the student has failed in at least one subject?

Two cards are drawn successively without replacement from a well-shuffled pack of 52 cards. The probability of drawing two aces is

A number x is selected from first 100 natural numbers. Find the probability that x satisfies the condition \(x + \frac{{100}}{x} > 50.\) (Correct upto two decimal places)

A box contains 7 green and 11 blue balls. Three balls are picked after another from the box, without replacement. The probability for all three balls being green is

P and Q are considering to apply for a job. The probability that P applies for the job is \(\frac{1}{4}\), the probability that P applies for the job given that Q applies for the job is \(\frac{1}{2}\), and the probability that Q applies for the job given that P applies for the job is \(\frac{1}{3}\). The probability that P does not apply for the job given that Q does not apply for the job is \(P\left( {\frac{{P'}}{{Q'}}} \right)\)and the probability that P apply for the job or Q apply for the job is \(P\left( P \cup Q \right)\). Which of the following is/are TRUE?

A speaks truth 3 out of 4 times. There is a chance that match can be won, drawn or lost but A reported that Shyam has won the match. Find the probability that his report was correct.

Two bags A and B have equal number of balls. Bag A has 20% red balls 80% green balls. Bag b has 30% red balls, 60% green balls and 10% yellow balls. Contents of Bags A and B are mixed thoroughly, and a ball is randomly picked from the mixture. What is the chance that the ball picked is red?

Consider a user buys 10 different mouse of company A and B. Since user prefer company A mouse, he buys 7 of them. The probability of a mouse lasting for more than a year given that it is from company A is 0.6 and given that it is from company B is 0.3. The probability that a mouse chosen randomly lasts more than a year is _____. (correct up to 2 decimal places)