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.
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.
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?
If three coins are tossed simultaneously then write their outcomes. a) All possible outcomes b) Number of possible outcomes c) Find the probability of getting at least one head (getting one or more than one head) d) Find the Probability of getting at most two heads (getting Two or less than two heads) e) Find the Probability of getting no tails
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.
Find the probability of getting almost two tails or at least two heads in a toss of three coins.
In the box there are a white and b black balls. Two persons A and B takes ball one after the other and each time ball is placed back in box. Person A starts the game. If white ball is obtained then person A wins the game probability of winning game by person A is double then the winning probability of person B. Then a : b = .........
A coin is tossed thrice. Write the elements of an event that 3 heads are not obtained. Also give complement of that event.
One balanced coin is tossed. If two head comes up then two balanced dice are tossed and sum of the numbers obtained on it is noted. If tail is obtain then one card is selected from the card numbered 1 to 9 and its number is noted. Then ....... is the probability of event that noted number from card is 7 or 8.
A box contains N coins, m of which are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2 while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair?
KUMAR PRAKASHAN-PROBABILITY-Practice Paper - 13 (Section - D (Answer the following questions))
