Question
A speaks the truth 4 out of 7 times and B speaks truth 8 out of 9 times. What is the probability that they contradict each other in stating the same fact?
Solution
P (A truth) = Probability that A speaks the truth =4/7 P (A lie) = Probability that A lies = 1 - P (A truth) =1-4/7 =3/7 P (B Truth) = Probability that B speaks the truth = 8/9 P (B lie) = Probability that B lies = 1- P (B truth) = 1-8/9 =1/9. 
More Probability Questions
- A box contains 5 red, 4 green, and 3 blue balls. Two balls are drawn without replacement. What is the probability both are green?
- A bag contains 8 green balls, 5 yellow balls and 3 blue balls. Two balls are drawn simultaneously. Find the probability that both the balls are of same col...
- Find the probability of selecting a card that is not a face card from a well shuffled deck.
- A bag contains 5 red, 4 blue and 3 green balls (12 balls in total). Two balls are drawn at random without replacement. Find the probability that both balls...
- There are 2 boxes. Box A contains 6 gums and 4 candies and Box B contains 3 gums and 7 candies. If a box is selected at random and 2 things are drawn out o...
- In a bag, there are three different colour balls namely red, yellow and white. The sum of the number of yellow and red balls in the bag is equal to the num...
- There are twelve boxes out of which only four boxes contain chocolates, and remaining boxes are empty. You picked one of the boxes randomly. Now the owner ...
- A bag contains (K - 2) red balls, 8 black balls, and 14 blue balls. If two balls are drawn randomly, the probability that both are black is 2/27. Calculate...
- A bag contains 3 blue, 2 green, and 5 black pens. If five pens are selected randomly, what is the probability that exactly two are green and three are blac...
- A bag contains 6 white balls, 4 red balls and 5 green balls. Two balls are drawn simultaneously. Find the probability that both the balls are of same colou...
Relevant for Exams:
