Summary of Probability

Q.

A bag contains 5 red balls and 4 blue balls. If one blue ball is taken out of the bag, the number of blue balls left and the total number of balls left will be ___ and ___ respectively.

1. 3, 8

2. 5, 9

3. 8, 9

4. 4, 8

Q.

Match the two columns for the figure shown below.
(4 marks)

$\begin{array}{cc}\text{Column - I}& \text{Column - II}\\ \text{(A) Area of}\square DABC& \text{(p) 41}\\ \text{(B) Area of}\Delta ADC& \text{(q) 126}\\ \text{(C) Area of}\Delta ABC& \text{(r) 306}\\ \text{(D) AC}& \text{(s) 180}\end{array}$

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. How many number cards are present in deck of 52 cards

Q. Choose the correct pair for each card.

1. Certain event
2. Uncertain event
3. more likely
4. probability=1
5. equally likely
6. chances are high
7. probability=0
8. chances are same

Q.

There is a black bag which contains 100 identical balls. 99 of those balls are red in colour and remaining 1 is white. Now, if you take a ball out of the bag, what can be said about its colour?

1. It must be red

2. It must be white

3. May be red or white

4. Nothing can be said about the colour.

Q. A die is dropped at random on the rectangular region of sides $3m\times 2m$. What is the probability that it will land inside a circle(lying inside the rectangle) with diameter 1 m?

1. $\frac{\pi }{48}$
2. $\frac{\pi }{24}$
3. $\frac{\pi }{36}$
4. $\frac{\pi }{12}$

Q. If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than $5$ is

1. $\frac{5}{36}$
2. $\frac{1}{6}$
3. $\frac{5}{18}$
4. $\frac{7}{18}$
5. $\frac{13}{18}$

Q. A die is dropped at random on the rectangular region of sides $3m\times 2m$. What is the probability that it will land inside a circle(lying inside the rectangle) with diameter 1 m?

1. $\frac{\pi }{48}$
2. $\frac{\pi }{24}$
3. $\frac{\pi }{36}$
4. $\frac{\pi }{12}$

Q. Drawing straight parallel lines to axes :
Draw the graph of x = 3.

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.

You are given a dart board of radius R cm. What is the probability that you hit the bull's eye of radius r cm?

1. $\frac{r^2}{R^2}$

2. $\frac{r}{R}$

3. $\frac{R}{r}$

4. 1

Q. Choose the correct pair for each card.

1. Certain event
2. Uncertain event
3. more likely
4. probability=1
5. equally likely
6. chances are high
7. probability=0
8. chances are same