Advertisements
Advertisements
Question
A number is selected from first 50 natural numbers. What is the probability that it is a multiple of 3 or 5?
Options
\[\frac{13}{25}\]
\[\frac{21}{50}\]
\[\frac{12}{25}\]
\[\frac{23}{50}\]
Solution
A number is selected from 50 natural numbers
TO FIND: Probability that the number selected is a multiple of 3 or 5
Total number is 50
Total numbers which are multiple of 3 or 5 up to 50 natural numbers are
3,6,5,9,10,12,15,18,20,21,24,25,27,30,33,35,36,39,40,42,45,48,50
Total number which are multiple of 3 or 5 up to 50 natural numbers are23
`"We know that PROBABILITY" = "Number of favourable event" /"Total number of event"`
Hence probability that the number selected is a multiple of 3 or 5 is equal to`23/50`
APPEARS IN
RELATED QUESTIONS
Find the class mark of the classes 20-30 and 30-40.
Three distinct coins are tossed together. Find the probability of getting
(i) at least 2 heads
(ii) at most 2 heads
Find the class mark of the class 35 - 39.
A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, a red balloon
The following table shows the blood-groups of employees in a bank.
Event C is : ‘the blood-group of an employee is AB.’
| Blood - group | A | B | AB | 0 |
| No. of employees | 20 | 40 | 15 | 25 |
If an employee is chosen at random, what is the probability that his blood-group is AB ?
Fill in the following boxes and find the answer
n(S)= ______
n(C)= ______
p(C)=________=_________
Five cards − the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.
If the queen is drawn and put a side, what is the probability that the second card picked up is (a) an ace? (b) a queen?
A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell will be a ₹1 or ₹2 coin
A dice is rolled twice. Find the probability that 5 will come up exactly one time
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 a face card
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
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability of getting an ace?
If a digit is chosen at random from the digit 1, 2, 3, 4, 5, 6, 7, 8, 9, then the probability that it is odd, is
A number is selected from numbers 1 to 25. The probability that it is prime is
A card is drawn from a well-shuffled pack of 52 cards. Find the probability of getting a black king.
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 red card.
A die is thrown once. The probability of getting an odd number greater than 3 is
A box contains a certain number of balls. On each of 60% balls, letter A is marked. On each of 30% balls, letter B is marked and on each of remaining balls, letter C is marked. A ball is drawn from the box at random. Find the probability that the ball drawn is:
- marked C
- A or B
- neither B nor C
Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is: 12
Rohan and Shalu are playing with 5 cards as shown in the figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?
Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is `2/9`. If the total number of balls in the bag is 36, find the number of yellow balls.
