Advertisements
Advertisements
Question
A game consist of tossing a one-rupee coin 3 times and noting the outcome each time. Ramesh will win the game if all the tosses show the same result, (i.e. either all thee heads or all three tails) and loses the game otherwise. Find the probability that Ramesh will lose the game.
Solution
Elementary outcomes of tossing a one-rupee coin three times are as follows:
{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
∴ Total number of outcomes = 8
Ramesh will lose the game if the outcome is any of the following:
{HHT, HTH, THH, HTT, THT, TTH}
∴ Number of favourable outcomes = 6
Now,
Probability that Ramesh will lose the game
=\[\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}\]
=\[\frac{6}{8} = \frac{3}{4}\]
Hence, the probability that Ramesh will lose the game is\[\frac{3}{4}\]
RELATED QUESTIONS
There are three boys and two girls. A committee of two is to be formed. Find the probability of events that the committee contains :
a) At least one girl.
b) One boy and one girl
c) Only boys
The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap?
Two different dice are rolled simultaneously. Find the probability that the sum of numbers appearing on the two dice is 10 ?
A bag contains 3 red balls and 5 black balls. A ball is draw at random from the bag. What is the probability that the ball drawn is red?
A bag contains 3 red balls and 5 black balls. A ball is draw at random from the bag. What is the probability that the ball drawn is not red?
A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is a prime number
All jacks, queens and kings are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is randomly drawn from it. Find the probability that this card is a red card.
In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green. One card is drawn from the bag at random. Find the probability that it has the figure of blue circle and
All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a face card and
Cards each marked with one of the numbers 4, 5, 6, ..., 20 are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting an even number?
A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. The probability that the number on this card is divisible by both 2 and 3 is
A bag contains 4 white balls, 5 red balls, 2 black balls and 4 green balls. A ball is drawn at random from the bag. Find the probability that it is not green.
Two different dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.
Three different coins are tossed simultaneously. Find the probability of getting exactly one head.
Two dice are rolled, find the probability that the sum is equal to 1
Frame two problems in calculating probability, based on the spinner shown here.
A coin is tossed two times. The number of possible outcomes is ______.
A coin is tossed three times. The number of possible outcomes is ______.
At a Birthday Party, the children spin a wheel to get a gift. Find the probability of any toy except a chocolate
Sonia picks up a card from the given cards.
Calculate the probability of getting B card bearing number > 7
