Probability of an Event

Q.

Question 34

A coin is tossed three times. The number of possible outcomes is
(a) 3
(b) 4
(c) 6
(d) 8

Q.

One bag contains $5$ white and $4$ black balls. Another bag contains $7$white and $9$ black balls. A ball is transferred from the first bag to the second and then a ball is drawn from second. The probability that the ball is white is

1. $\frac{8}{17}$

2. $\frac{40}{153}$

3. $\frac{5}{9}$

4. $\frac{4}{9}$

Q.

A bag contains $5$ white, $7$red, and $8$ black balls. If four balls are drawn one by one without replacement, what is the probability that all are white

1. $\frac{1}{969}$

2. $\frac{1}{380}$

3. $\frac{5}{20}$

4. None of these

Q.

A bag has $4$ red balls $2$ yellow balls and a ball is drawn from the bag without looking into the bag. What is the probability of getting a red ball? Is the probability of getting a red ball more or less than getting a yellow ball?

Q.

Question 33

A coin is tossed two times. The number of possible outcomes is
(a) 1
(b) 2
(3) 3
(d) 4

Q.

A box $B_1$ contains $1$white balls, $3$ red balls and $2$ black balls.

Another box $B_2$ contains $2$ white balls, $3$ red balls and $4$ black balls.

A third box $B_3$ contains $3$ white balls, $4$ red balls and $5$ black balls.

If $1$ ball is drawn from each of the boxes $B_1$, $B_2$ and $B_3$, the probability that all $3$ drawn balls are of the same color, is

1. $\frac{82}{648}$

2. $\frac{90}{648}$

3. $\frac{558}{648}$

4. $\frac{566}{648}$

Q.

Find the probability of the pointer stopping on $D$ from the given figure.

Q.

One card is drawn from a well-shuffled deck of$52$cards. Find the probability of getting a queen of diamonds.

Q.

There are $10$ red marbles and $8$ green marbles in a jar. if you take three marbles from the jar (without replacement), the probability that they are all red is___.

Q.

What is the probability that a couple will have a girl, a boy, a girl and a boy in this specific order?

Q.

In a bag, there are three different colored balls, that is, yellow, blue and red. A student is asked to pick a ball without looking into the bag. This was repeated $10$ times and each time the result was recorded.

Blue	Yellow	Red
$4$	$5$	$1$

Find the probability of picking a blue ball.

Q. A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. What is the probability that the ball drawn is red?

1. $\frac{3}{15}$
2. $\frac{7}{15}$
3. 1
4. $\frac{5}{15}$

Q.

Question 23

A coin is tossed 12 times and the outcomes are observed as shown below:

The chance of occurence of head is:

(a) $\frac{1}{2}$

(b) $\frac{5}{12}$

(c) $\frac{7}{12}$

(d) $\frac{5}{7}$

Q.

Question 89

Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is $\frac{2}{9}.$ If the total number of balls in the bag is 36, then find the number of yellow balls.

Q. A card is drawn from a deck of 52 cards. Find the probability that the card drawn is neither a black card nor a jack.

Q.

Question 12

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 an knocked out one button on the floor. What is the probability that the button on the floor is blue?

(a) $\frac{7}{20}$

(b) $\frac{3}{5}$

(c) $\frac{1}{5}$

(d) $\frac{1}{4}$

Q.

Question 6

What is the probability of choosing a vowel from the alphabets?

(a) $\frac{21}{26}$

(b) $\frac{5}{26}$

(c) $\frac{1}{26}$

(d) $\frac{3}{26}$

Q.

In a simultaneous throw of a pair of dice, find the probability of getting:

(i) 8 as the sum

(ii) a doublet

(iii) a doublet of prime numbers

(iv) a doublet of odd numbers

(v) a sum greater than 9

(vi) an even number on first

(vii) neither 9 nor 11 as the sum of the numbers on the faces

(ix) a sum less than 6

(x) a sum less than 7

(xi) a sum more than 7

(xii) at least once

(xiii) a number other than 5 on any dice.

Q.

A die is thrown . Find the probability of not getting an even number.

1. 1/2

2. 1/3

3. 1

4. 1/4

Q. A card is drawn from a deck of 52 cards. Find the probability that the card drawn is neither a black card nor a jack.

Q.

Question 86(v)

A die is rolled once. What is the probability that the number on top will be a factor of 36

Q.

Which of the following is a certain event?

1. Getting an even number on rolling a die

2. Getting head when a coin is toss once.

3. Getting an prime number on rolling a die

4. Getting a number less than 13 on rolling two dice simultaneously

Q. Question 3(iii)
Find the: Probability of getting a red apple. (See figure a longside)

Q.

Question 111(i)

At a birthday party, the children spin a wheel to get a gift.

Find the probability of getting a ball ?

Q.

Question 99(i)

Playing cards
From a pack of cards, the following cards are kept face down :

Suhail wins if he picks up face card. Find probability of Suhail winning ?

Q. An unbiased die is thrown. The probability that the number which comes up is even, is _________.

1. $\frac{1}{2}$
2. $\frac{1}{3}$
3. $\frac{1}{4}$
4. $\frac{1}{5}$

Q.

Question 87(v)

Classify the following statements under appropriate headings.
Sun rising from the West. ?

$\begin{array}{ccc}\text{Certain to happen}& \text{Impossible to happen}& \text{May or may not happen}\\ & & \\ & & \end{array}$

Q.

Question 86(i)

A die is rolled once. What is the probability that the number on top will be Odd ?

Q. Find the
(a) Probability of the pointer stopping on $D$ in spinning a wheel if it has $A,A,D,B,C$ written on it?
(b) Probability of getting an ace from a well shuffled deck of $52$ playing cards?
(c) Probability of getting a red apple from the figure given above.

Q.

Question 35

A die is tossed two times. The number of possible outcomes is
(a) 12
(b) 24
(c) 36
(d) 30