Advertisements
Advertisements
Question
Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is
Options
A. `1/2`
B. `2/5`
C. `3/10`
D. `5/9`
Solution
Number on the cards are 2, 3, 4, … , 11.
Sample space associated with the experiment, S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
∴Total number of outcomes = 10
Let A be the event of drawing a card with a prime number.
The cards with prime number are 2, 3, 5, 7 and 11.
Number of outcomes in favour of event A = 5
`therefore \text{Requried probablity =P(A)}=(text{Number of outcomes in favour of A})/(text{ Total number of outcomes i})5/10=1/2`
Hence, the correct answer is A.
APPEARS IN
RELATED QUESTIONS
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 probability of win for each boy.
There are three boys and two girls. A committee of two is to be formed. Find the probability of events that the committee contains :
a) At least one girl.
b) One boy and one girl
c) Only boys
A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is consonant.
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.
Which number cannot represent a probability?
The faces of a die bear numbers 0, 1, 2, 3, 4, 5. If the die is rolled twice, then find the probability that the product of digits on the upper face is zero.
In a class of 42 students in Model High School, 3 students use spectacles.
Fill in the following boxes to find the probability of a students selected
at random is wearing sepctacles.
The total number of students in the class is 42.
∴n(S) = ...... ,
Let the event, a student uses spectacles, be A.
∴ n(A) = ...........
∴ P(A) = ............ ∴ P(A) = ............
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 black card
In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green. One card is drawn from the bag at random. Find the probability that it has the figure of square
In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green. One card is drawn from the bag at random. Find the probability that it has the figure of
A die thrown once. What is the probability of getting a number lying between 2 and 6?
Two dice are thrown together. The probability of getting the same number on both dice is
A bag contains 8 red, 2 black and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is not black?
By using two variables, write the following statement in mathematical form:
The cost of two tables and five chairs is 2,200.
A coin is tossed. What is the probability of getting:
a head?
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: less than or equal to 12
In a family having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is `1/4`. Is this correct? Justify your answer
Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?
Each outcome or a collection of outcomes in an experiment makes an ______.
On throwing a dice once, the probability of occurence of a composite number is `1/2`.
