Equally Likely Outcomes

Q.

A bag contains $14$ balls of which $\text{x}$ are white . If $6$ more white balls are added to the bag, the probability of drawing a white ball is $\frac{1}{2}$, then $\text{x=}$

Q.

If the number $x$ is chosen from the numbers $1,2,3$ and a number $y$ is selected from the numbers $1,4,9$ find the probability that $xy<9$.

Q.

If you have a collection of 6 pairs of white socks and 3 pairs of black socks. What is the probability that a pair you pick without looking is

(i) white? (ii) black?

Q.

Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?

Q.

An experiment whose outcomes cannot be predicted exactly in advance is called a ______.

Q. What is the probability of getting a prime number on rolling a dice once?

1. 0.5

Q. Which of the following is not an experiment:
a.Tossing a coin
B. Choosing a specific coloured ball from a collection of different coloured balls
C.buying a pen.

Q.

The cards bearing letters of the word MATHEMATICS are placed in a bag. A card is taken out from the bag without looking into the bag (at random).

How many outcomes are possible when a letter is taken out of the bag at random.

Q.

Question 56

When a die is thrown, outcomes 1, 2, 3, 4, 5, 6 are equally___.

Q.

There are a total of 9 chocolates , 3 each in the flavors of coffee, cherry and grape. There are also 4 children. If each child is allowed to choose their own favorite flavor, what is the probability that all of
them will get flavors of their choice?

Q. What is the probability of not getting a number more than 6 on rolling a dice?

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

Q.

Two dice are thrown. What is the probability that the sum of the faces equals or exceeds $10?$

1. $\frac{1}{12}$

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

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

4. $\frac{1}{6}$

Q.

Question 13

Rahul, Varun and Yash are playing a game of spinning a coloured wheel. Rahul wins, if spinner lands on red. Varun wins, if spinner lands on blue. Yash wins, if it lands on green. Which of the following spinners should be used to make the game fair?

(a) (i)

(b) (ii)

(c) (iii)

(d) (iv)

Q. It is known that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at random from this box.What is the probability that it is a non-defective bulb?

1. $\frac{49}{50}$
2. $\frac{45}{70}$
3. $\frac{1}{60}$
4. $\frac{1}{50}$

Q.

Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?

Q. A bag has 4 red balls and 2 yellow balls. The balls are identical in all respect other than colour. A ball is drawn from the bag without looking into the bag. The probability of getting a red ball is _________. Choose the correct option to fill in the blank.

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

Q. A paper bag contains 15 slips of paper 8 of them and blue and a are numbered from 1 to 8.seven of them are pink and are numbered From 1 to 7 you wish to draw blue slip on the first draw and a pink slip on II draw the first slip is not replaced after being drawn .are these events independent??

Q. Tick (✓) the correct answer:
In a spinning wheel, there are 3 white and 5 green sectors. It is spinned. What is the probability of getting a green sector?
(a) $\frac{5}{3}$
(b) $\frac{5}{8}$
(c) $\frac{1}{5}$
(d) $\frac{3}{8}$

Q.

A die is thrown. Find the probability of getting :

(i) a prime number (ii) 2 or 4 (iii) a multiple of 2 or 3

Q. Please help me to clear probability of data handling.

Q. I read $\frac{3}{7}$ pages of a book containing 100 pages. Lalita read $\frac{2}{5}$of the same book. who read less ?

Q. A die has six faces numbered from $1$ to $6$. It is rolled and number on the top face is noted. When this is treated as random trial.
(a) What are the possible outcomes?
(b) Are they equally likely? Why?
(c) Find the probability of a composite number turning up on the top face.

Q.

Question 56

When a die is thrown, outcomes 1, 2, 3, 4, 5, 6 are equally___.

Q. When we perform an experiment then outcomes are known as equally likely if

1. There is only one outcome
2. All outcomes are the same
3. Each outcome has the same chance of occurence
4. When the outcomes can be predicted

Q.

There is a box containing 15 ping pong balls of 3 different colors red, green and blue. There are 7 red balls and 3 green balls. What is the probability of getting a blue ball in the first attempt?

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

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

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

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

Q. A carton consists of 100 shirts of which 88 are good and 8 have minor defrects. Rohit, a trader, will only accept the shirts which are good. But, Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to
(i) Rohit
(ii) Kamal [4 Marks]

Q. A bag contains 5 white, 6 red and 4 green balls. One ball is drawn at random. What is the probability that the ball drawn is
(i) green?
(ii) white?
(iii) non-red?

Q. Which experiment has equally likely outcomes?

1. Toss a coin
2. Roll a die
3. Choose a number at random from $1$ to $7$
4. All the above

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. A bag contains 26 balls, all identical to each other in all aspects except the colour of the balls. It contains 11 red balls, 7 black balls, 2 yellow balls and 6 blue balls. The selection of a ball of any particular colour is an equally likely outcome. State True or False.

1. False
2. True