Advertisements
Advertisements
प्रश्न
A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is
- extremely patient,
- extremely kind or honest.
Which of the above values you prefer more?
उत्तर
Total number of persons = 12.
Number of persons who are extremely patient = 3.
Number of persons who are extremely honest = 6.
Number of persons who are extremely kind = 12 − 3 − 6 = 3.
i. P(selecting a person who is extremely patient) = `("Number of favourable outcomes")/"Number of all possible outcomes"`
`= 3/12 = 1/4`
Thus, the probability of selecting a person who is extremely patient is `1/4`.
ii. P(selecting a person who is extremely kind or honest) =`("Number of favourable outcomes")/"Number of all possible outcomes"`
`= 6+3/12 = 9/12= 3/4 `
Thus, the probability of selecting a person who is extremely kind or honest is `3/4`.
From the three given values, we prefer honesty more.
APPEARS IN
संबंधित प्रश्न
A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is consonant.
Two dice are thrown. Find the probability of the event that the product of numbers on their upper faces is 12.
All the red face cards are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is a queen.
All the red face cards are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is an ace.
A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number on the drawn card is a perfect square.
Two coins are tossed simultaneously. Find the probability of getting at least one head.
A dice is rolled twice. Find the probability that 5 will come up exactly one time
All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting king
Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is of red colour
In Q. No. 1, The probability that the digit is even is
A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a 50 p or a ₹2 coin?
A bag contains 18 balls out of which x balls are red. If two more red balls are put in the bag, the probability of drawing a red ball will be `9/8` times the probability of drawing a red ball in the first case. Find the value of x.
A die is thrown once. The probability of getting an odd number greater than 3 is
Two dice are thrown. Find the probability of the following events:
Event A : The product of the numbers on their upper faces is 10.
Event B : The sum of the numbers on their upper faces is 10
A bag contains 3 white, 5 black, and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is not a black ball.
From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of
2
A lot consists of 144 ball pens of which 20 are defective and the others are good. Tanu will buy a pen if it is good but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. The probability that she will buy that pen is ____________.
In a throw of a dice, the probability of getting the number 7 is ______.
Sonia picks up a card from the given cards.
Calculate the probability of getting an odd number
