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
Options
\[\frac{1}{5}\]
\[\frac{3}{25}\]
\[\frac{4}{25}\]
\[\frac{2}{25}\]
Solution
The total number of cards in the bag is 25.
∴ Total number of outcomes = 25
The numbers from 1 to 25 which are divisible by both 2 and 3 are 6, 12, 18 and 24.
So, the favourable number of outcomes are 4.
∴ P(number on the drawn card is divisible by both 2 and 3) = \[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{4}{25}\]
APPEARS IN
RELATED QUESTIONS
Two different dice are tossed together. Find the probability
(i) that the number on each die is even.
(ii) that the sum of numbers appearing on the two dice is 5.
In a single throw of a pair of different dice, what is the probability of getting (i) a prime number on each dice?
Two different dice are rolled together. Find the probability of getting the sum of numbers on two dice to be 5.
Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is a perfect square number.
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 an even prime number.
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 face card
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
The probability of guessing the correct answer to a certain test questions is\[\frac{x}{12}\] If the probability of not guessing the correct answer to this question is\[\frac{ 2}{3}\] then x =
A month is selected at random in a year. The probability that it is March or October, 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 neither red nor green.
Two different dice are tossed together. Find the probability that the sum of the numbers appearing on the two dice is 5.
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.
One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a 6?
In a certain race there are three boys A, B, C. The winning probability of A is twice than B and the winning probability of B is twice than C. If P(A) + P(B) + P(C) = 1, then find the probabilities of their winning.
Three identical coins are tossed together. What is the probability of obtaining:
all heads?
In a football match, a goalkeeper of a team can stop the goal, 32 times out of 40 attempts tried by a team. Find the probability that the opponent team can convert the attempt into a goal
One ticket is selected at random from 100 tickets numbered 0.0, 01, 02, ……, 99. Suppose x is the sum of digits and y is the product of digits, then the probability that x = 9 and y = 0 is ____________.
Total number of outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls is ______.
A coin is tossed three times. The number of possible outcomes is ______.
