English

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) 1 5 (B) 3 25 (C) 4 25 (D) 2 25 - Mathematics

Advertisements
Advertisements

Question

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)`1/5`

(B)`3/25`

(C)`4/25`

(D)`2/25`

Solution

Total number of possible outcomes = 25
Let E be the event that the number on the card drawn is divisible by both 2 and 3.
∴  E = {6, 12, 18, 24}
∴ Number of outcomes favourable to E = 4

\[P(E) = \frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}} = \frac{4}{25}\]
Hence, the correct option is C.
shaalaa.com
  Is there an error in this question or solution?
2013-2014 (March) Foreign Set 3

RELATED QUESTIONS

Two coins are tossed simultaneously. Write the sample space ‘S’ and the number of sample points n(S). Write the following events using set notation and mention the number of elements in each of them:-

(a) A is the event of getting at least one head.

(b) B is the event of getting exactly one head


In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1to 12 classes in the school and each class has two sections, find how many trees were
planted by the students. Which value is shown in this question?


Find the class mark of the class 35 - 39.


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 multiple of 5.


In fig. 7 is shown a disc on which a player spins an arrow twice. The fraction `a/b` is formed, where 'a' is the number of sector on which arrow stops on the first spin and 'b' is the number of the sector in which the arrow stops on second spin. On each spin, each sector has equal chance of selection by the arrow. Find the probability that the fraction  `a/b>1.`


The probability of getting an even number, when a die is thrown once, is :

(A) `1/2`

(B)`1/3`

(C)`1/6`

(D)`5/6`


A box contains 5 red marbels, 8 white marbles and 4 green marbles, One marble is taken out of the box at ramdom. What is the probability that the marble taken out will be white?


The king, queen and jack of clubs are removed form a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of  a queen of diamond.

 


A bag contains 3 red and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red. 


Which of the following cannot be the probability of an event? 


The probability of getting an even number, when a die is thrown once is


Two different coins are tossed simultaneously. The probability of getting at least one head is


In a family of 3 children, find the probability of having at least one boy.


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 jar contains 24 marbles. Some of these are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is `2/3`. Find the number of blue marbles in the jar.


Find If A If tan 2A = cot (A-24°)


Three different coins are tossed simultaneously. Find the probability of getting exactly one head.


Three identical coins are tossed together. What is the probability of obtaining:
exactly one head?


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 or 3


What is the probability that the minute and hour hands of a clock will form an acute angle at any given time?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×