- Probability part 13 (Independent Events)
undefined video tutorial00:14:01
- Probability part 15 (Independent Events :- Examples)
undefined video tutorial00:11:31
- Probability part 16 (Independent Events :- Examples)
undefined video tutorial00:14:06
- Probability part 14 (Independent Events :- Examples)
undefined video tutorial00:14:35
undefined video tutorial00:17:37
A bag contains 4 balls. Two balls are drawn at random (without replacement) and are found to be white. What is the probability that all balls in the bag are white?
One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent?
(i) E: ‘the card drawn is a spade’
F: ‘the card drawn is an ace’
(ii) E: ‘the card drawn is black’
F: ‘the card drawn is a king’
(iii) E: ‘the card drawn is a king or queen’
F: ‘the card drawn is a queen or jack’
If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability 1/2).
A fair coin and an unbiased die are tossed. Let A be the event ‘head appears on the coin’ and B be the event ‘3 on the die’. Check whether A and B are independent events or not.
Given that the events A and B are such that P(A) = 12, PA∪B=35 and P (B) = p. Find p if they are (i) mutually exclusive (ii) independent.
Events A and B are such that `P(A) = 1/2, P(B) = 7/12 and P("not A or not B") = 1/4` . State whether A and B are independent?
If A and B are two independent events such that `P(barA∩ B) =2/15 and P(A ∩ barB) = 1/6`, then find P(A) and P(B).
Two events A and B will be independent, if
(A) A and B are mutually exclusive
(B) P(A'B') = [1 - P(A)][1-P(B)]
(C) P(A) = P(B)
(D) P(A) + P(B) = 1
If A and B are two events such that `P(A) = 1/4, P(B) = 1/2 and and P(A ∩ B) = 1/8` , find P (not A and not B)
A card from a pack of 52 playing cards is lost. From the remaining cards of the pack three cards are drawn at random (without replacement) and are found to be all spades. Find the probability of the lost card being a spade.
A speaks truth in 60% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact? In the cases of contradiction do you think, the statement of B will carry more weight as he speaks truth in more number of cases than A?
Probability of solving specific problem independently by A and B are `1/2 and 1/3` respectively. If both try to solve the problem independently, find the probability that
(i) the problem is solved (ii) exactly one of them solves the problem.