Summary of Probability

Q. In a pack of cards, what is honour card and there are how many honour cards

Q.

The following table shows the blood groups of $40$ students of a class:

BLOOD GROUP	$A$	$AB$	$B$	$O$
NO. OF STUDENTS	$9$	$5$	$11$	$15$

One student in the class is chosen at random. What is the probability that the chosen student has blood group: (i) $O$? (ii) $AB$?

Q.

Out of 50 students in a class taking a test, 35 of them passed whereas the other 15 failed. What is the probability that a student selected at random passed the test?

1. 0.15
2. 0.3
3. 0.35
4. 0.7

Q.

What We Call the Set of Cards

Q. The number of face cards in a deck of 52 cards is 12.

1. True
2. False

Q. In an university, out of 120 students, 15 opted mathematics only, 16 opted statistics only, 9 opted for physics only and 45 opted physics and mathematics, 30 opted physics and statistics, 8 opted mathematics and statistics and 80 opted physics. Find the number of students who opted mathematics.

1. 60
2. 64
3. 50
4. None of These

Q.

Out of 50 students in a class taking a test, 35 of them passed whereas the other 15 failed. What is the probability that a student selected at random passed the test?

1. 0.15
2. 0.3
3. 0.35
4. 0.7

Q.

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probablity of

the card drawn is either a heart , a queen or king

1)17/52 2)21/52 )19/52 4)9/26

Q. In a class of 40 students, 24 like to play guitar and 25 like to piano. If each student likes at least one of the musical instrument, then how many like to play both piano and guitar?

1. 9
2. 17
3. 5
4. 10

Q.

In a deck of playing cards, 2 new suits are introduced which are red and black in color respectively. If the number and types of cards in the new suits are same as the standard suits. Find the probability that I will get a face card on a random draw of 1 card. Also find the probability if the new suits were not introduced.

1. 

2. 

3. 

4. 

Q.

A box contains 3 black balls, 4 red balls and 3 green balls. All the balls are identical in shape and size. Rohit takes out a ball from the bag without looking into it. What is the probability that the ball drawn is a black or green ball?

1. $\frac{3}{10}$

2. $\frac{4}{10}$

3. $\frac{3}{5}$

4. $\frac{1}{2}$

Q. Question 20
Suppose you drop a die at random on the rectangular region shown in the given figure. What is the probability that it will land inside the circle with diameter 1 m?

Q. The probability that bulbs selected randomly from the lot has life less than 900 hours is :

1. $\frac{11}{40}$
2. $\frac{5}{16}$
3. $\frac{7}{16}$
4. $\frac{9}{16}$

Q. Find the probability that a coin tossed falls in each of the shaded region. (all measures in cm)

1. 0.2
2. 0.25
3. 0.66

Q. A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to total of 58 men and only three men got medals in all the three sports. Number of person who get medals in exactly two of the three sports is

1. 15
2. 9
3. 18
4. 12

Q.

A box contains 3 black balls, 4 red balls and 3 green balls. All the balls are identical in shape and size. Rohit takes out a ball from the bag without looking into it. What is the probability that the ball drawn is a black or green ball?

1. $\frac{3}{10}$

2. $\frac{4}{10}$

3. $\frac{3}{5}$

4. $\frac{1}{2}$

Q. Two dice are thrown simultaneously. Match the following events with their probabilities.

1. $\frac{5}{36}$
2. $\frac{1}{9}$
3. $\frac{1}{6}$
4. \N

Q.

In how many ways we can select 5 cards from a deck of 52 cards, if each selection must include atleast one king

Q. Find the probability that a coin tossed falls in each of the shaded region. (all measures in cm)

1. 0.2
2. 0.25
3. 0.66

Q. The probability of getting a 2 when a die is rolled is .

1. $\frac{1}{6}$
2. $\frac{2}{6}$
3. $\frac{1}{26}$
4. 1

Q. The probability of getting a prime number when a die is rolled is .

1. $\frac{5}{2}$
2. $\frac{1}{2}$
3. $\frac{2}{3}$

Q. Find the probability that a coin tossed falls in each of the shaded region. (all measures in cm)

1. 0.2
2. 0.25
3. 0.66

Q.

From a pack of 52 cards, I take out a King card and a Queen card. The total number of cards still left is ___.

The number of king cards still left is ___.
Fill both blanks respectively.

Q. A bag contain $4$ 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 black.

Q. Tickets numbered $2,3,4,5,.....,100,101$ are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is a number less than $16$.

Q. Two cards are drawn simultaneously from the same set. The probability the at least one of them will be Ace of hearts is $\frac{k}{52}$. Find the value of $k$.