Advertisements
Advertisements
Question
Cards bearing numbers 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card which is:
1) a prime number
2) a number divisible by 4.
3) a number that is a multiple of 6.
4) an odd number.
Solution
Total number of cards 10
1) Prime number card is 2
⇒ Number of favourable outcomes 1
∴ Required probability = `1/10`
2) Cards having number divisible by 4 are 4, 8, 12, 16, 20.
⇒ Number of favourable outcomes = 5
∴ Required probability = `5/10 = 1/2`
3) Cards having the number that is multiple of 6 are 6, 12, 18
⇒ Number of favourable outcomes = 3
∴ Required probability = `3/10`'
4) Odd number card is not there.
⇒ Number of favourable outcomes = 0
∴ Required probability = 0
APPEARS IN
RELATED QUESTIONS
Sixteen cards are labelled as a, b, c, ............... m, n, o, p. They are put in a box and shuffled. A boy is asked to draw a card from the box. What is the probability that the card drawn is:
- a vowel.
- a consonant.
- none of the letters of the word median.
A die has 6 faces marked by the given numbers, as shown below.
The die is thrown once. What is the probability of getting
1) a positive integer
2) an integer greater than −3.
3) the smallest integer.
A box contains some black balls and 30 white balls. If the probability of drawing a black ball is two-fifths of a white ball; find the number of black balls in the box.
Which of the following cannot be the probability of an event?
– 0.6
A bag contains a certain number of red balls. A ball is drawn. Find the probability that the ball drawn is black.
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting the jack or the queen of the hearts.
Two dice, one white and one red are rolled together .Find the probability of getting
(i) a sum of 6
The heights of 60 students of a class are given in the following table :
| Height(in cm) | 150-155 | 155-158 | 158-160 | 160-165 | 165-172 |
| No. of students | 8 | 20 | 25 | 4 | 3 |
Find the probability that the height of a student lies in the interval
(iii) 158-172
An unbiased cubic die is thrown .Find the probability of getting
(ii) a number greater than 2
Two different coins are tossed simultaneously .Find the probability of getting :
(ii)no tail
