Suppose A and B are two events with P(A)=0.5 and P(A∪B)=0.8. Let P(B)=p if A and B are mutually exclusive and P(B)=q if A and B are independent, then
Three boys and two girls stand in a queue. The probability, that the number of boys ahead is at least one more than the number of girls ahead of her, is (A) 21 (B) 31 (C) 32 (D) 43
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.
A ticket is drawn at random from a bag containing tickets numbered from 1 to 40. Find the probability that the selected ticket has anumber which is a multiple of 5.
Football teams T1 and T2 have to play two games against each other. It is assumed that theoutcomes of the two games are independent. The probabilities of T1 winning, drawing andlosing a game against T2 are1/ 2,and1/6,1/3respectively. Each team gets 3 points for a win,1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total pointsscored by teams T1 and T2, respectively, after two gamesP (X=Y) is
Of the students in a school, it is known that 30% have 100% attendance and 70% students are irregular. Previous year results report that 70% of all students who have 100% attendance attain A grade and 10% irregular students attain A grade in their annual examination. At the end of the year, one student is chosen at random from the school and he was found to have an A grade. What is the probability that the student has 100% attendance ? Is regularity required only in school ? Justify your answer.
Two unbaised dice are thrown. Find the probability that the sum of the numbers appearing is 8 or greater, if 4 appear on the first head.