Given a fair six-faced dice where the faces are labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, what is the probability of getting a ‘1’ on the first roll of the dice and a ‘4’ on the second roll?
\(\frac{1}{36}\)
The rolls are independent. Each specified face has probability 1/6, so the required probability is \((1/6)(1/6)=1/36\).
Important Questions from Types of Probability
If f(x) is a probability density on the real line, then which of the following is NOT a valid probability density?
The probability of student A passing an exam is 2/7 and that of B passing is 5/7. If these probabilities are independent, what is the probability that only B passes the examination
A die is tossed three times, What is the probability of getting an odd number at least once ?
- There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One ball is drawn at random from each container. The probability that one of the balls is Red and the other is Blue will be
An event has 4 possible outcomes with probabilities 1/2, 1/4, 1/8, 1/16. What will be the rate of information if there are approximately 24 outcomes/second possible?
