Advertisements
Advertisements
प्रश्न
Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on
- the same day?
- consecutive days?
- different days?
उत्तर
There are a total of 5 days. Shyam can go to the shop in 5 ways and Ekta can go to the shop in 5 ways.
Therefore, total number of outcomes = 5 × 5 = 25
(i) They can reach on the same day in 5 ways.
i.e., (t, t), (w, w), (th, th), (f, f), (s, s)
P (both will reach on same day) = `5/25 = 1/5`
(ii) They can reach on consecutive days in these 8 ways - (t, w), (w, th), (th, f), (f, s), (w, t), (th, w), (f, th), (s, f).
Therefore, P (both will reach on consecutive days) = `8/25`
(iii) P (both will reach on same day) = `1/5` ...[(From (i)]
P (both will reach on different days) = `1 - 1/5 = 4/5`
संबंधित प्रश्न
A student argues that ‘there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12. Therefore, each of them has a probability 1/11. Do you agree with this argument?
A die is thrown. Find the probability of getting 2 or 4
In a simultaneous throw of a pair of dice, find the probability of getting a doublet of prime numbers
A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is neither a heart nor a king
A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is White
A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is Red or white
A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability? of obtaining the same number on both dice?
A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is Red or white
A bag contains tickets numbered 11, 12, 13,..., 30. A ticket is taken out from the bag at random. Find the probability that the number on the drawn ticket is a multiple of 7
Suppose the pen drawn in (i) is defective and is not replaced. Now one more pen is drawn at random from the rest. What is the probability that this pen is:
- defective
- not defective?
Find the probability that in a leap year there will be 53 Tuesdays ?
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting
(i) a red king.
(ii) a queen or a jack.
There are six cards in a box, each bearing a number from 0 to 5. Find the probability of the following event, that a card drawn show, a whole number.
Fill in the blank:
For any event E, P(E) + P (not E) = ........ .
A die is rolled twice. Find the probability that 5 will not come up either time.
It is known that a bax of 600 electric bulbs contain 12 defective bulbs. One bulb is taken out at random from this box. What is the probability that it is a non-defective bulb?
1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Namita has purchased one lottery ticket, what is the probability of winning a prize?
Two coins are tossed once. Find the probability of getting 2 heads.
Two dice are thrown simultaneously. Find the probability of getting: a multiple of 3 as the sum.
Someone is asked to take a number from 1 to 100. The probability that it is a prime is ______.
A coin is tossed 3 times. List the possible outcomes. Find the probability of getting at least 2 heads
Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is 2.
The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the card is a king.
All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value 7
In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she loses the entry fee.
A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defects and 3 have major defects. Varnika will buy a phone if it is good but the trader will only buy a mobile if it has no major defect. One phone is selected at random from the lot. What is the probability that it is acceptable to the trader?
At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that the first player wins a prize?
Which of the following cannot be the probability of an event?
Two dice are tossed simultaneously. The probability of getting odd numbers on both the dice is ______.
A bag contains 3 red and 2 blue marbles. A marble is drawn at random. ‘The probability of drawing a black marble is ______.
