Rajesh agrees to play the game of tossing dice. If number 1 or 2 comes up he looses ₹ 2 and if number 3 or 4 or 5 comes up he gets ₹ 5 and he loose ₹ 10 if number 6 comes up. If random variable X denotes the amount get by Rajesh then find expectation.
KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos
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A person plays a game of tossing a coin thrice. For each head, he is given Rs 2 by the organiser of the game and for each tail, he has to give Rs 1.50 to the organiser. Let X denote the amount gained or lost by the person. Show that X is a random variable and exhibit it as a function on the sample space of the experiment.
6 balls marked as 1,2,3,4,5 and 6 are kept in a box. Two players A and B start to take out 1 ball at a time from the box one after another without replacing the ball till the game is over. The number marked on the ball is added each time to the previous sum to get the sum of numbers marked on the balls taken out. If this sum is even, then 1 point is given to the players. the first player to get 2 points is declared winner. at the start of the game, the sum is 0. if A starts to take out the ball, find the number of ways in which the game can be won.
In a game of tossing 3 coins person gets ₹ 5 if all heads or all tails obtained. He looses ₹ 3 if he gets one or two heads. Obtain mathematical expectation to win on the average per game.
Consider the random experiment of tossing dice. If number obtained on it is multiple of 3 then toss dice again, and if any other number is obtained toss a coin. Find probability of an event that coin shows tail given that at least once number 2 comes up.
If a die is thrown 5 times. Then find the probability that an odd number will come up exactly three times.
Consider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Find the conditional probabilityof the event 'the coin shows a tail', given that at least one die shows a 3'.
Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1, 2, 3 or 4 with the die?
A balanced dice is tossed (2n + 1) times. Find probability of an event that number 1 OR 3 OR 4 comes up at most n times.
Three faces of dice are marked integer 1, two faces are marked integer 2 and one face is marked with integer 5. Then find the mean of an event of getting number on dice while tossing.
A five digit number is formed by the digits 1, 2, 3, 4, 5 without repetition. Find the probability that the number is divisible by 4.
KUMAR PRAKASHAN-PROBABILITY-Practice Paper - 13 (Section - D (Answer the following questions))
