Experiment and Outcomes

Q.

How many $3$-digit natural numbers are completely divisible by $6$?

Q.

Question 42

When a die is rolled, the six possible outcomes are ___.

Q.

In a lottery, there are 5 prized tickets and 995 blank tickets. A person buys a lottery ticket . Find the probability of his winning a prize

Q.

Question 43

Each outcome or a collection of outcomes in an experiment makes an ___.

Q. A coin is tossed 200 times and heads appeared 120 times. What is the probability of getting a tails in this experiment?

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

Q.

A monkey is trying to climb a mango tree which is 12 m high but as it is rainy season, the branches of the tree are very slippery. So, whenever it tries to climb 3 m , he slips behind by 1 m. How many jumps are required by monkey to climb at the top of the tree? [3 MARKS]

Q. Three different coins are tossed together find the probability of .
i) Exactly two heads ii) At least one tails
ii) Almost two heads iv) At most two tails
v) At least two tails vi) At most one head
vii) At least one head

Q.

Four dice are rolled. The number of possible outcomes in which at least one dice shows $2$is

1. $625$

2. $671$

3. $1023$

4. $1296$

Q.

There is a bag which contains 50 balls of same size. 20 of those balls are red in colour and remaining 30 are white. Now, if you take a ball out from 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. Getting a red ball and getting white ball are two equally likely outcomes

Q.

Question 72

If a pair of coins is tossed, then the number of outcomes are 2.

Q.

Question 76

One or more outcomes of an experiment make an event ?

Q.

There is a bag which contains 50 balls of same size. 20 of those balls are red in colour and remaining 30 are white. Now, if you take a ball out from the bag what can be said about its colour?

1. May be red or white

2. Nothing can be said about the colour

3. It must be red

4. It must be white

Q. A coin is tossed 100 times with following frequency.
Head : 25, Tail : 75

1. One
2. Two
3. Four
4. three

Q. You have an eight-faced die. In this die, one of the faces contains 1, two faces contain 2, three faces contain 3 and other faces contain a 4 and a 5 respectively. What is the number of favourable outcomes of obtaining a 3?

1. 2
2. 3
3. 4
4. 1

Q. Tossing a coin is an example of _______.

1. space
2. experiment
3. event
4. sample

Q.

A jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a marble from this jar is taken out randomly then the probability of getting a red marble is :

1. 6

2. 22

3. 3/11

4. 16/22

Q. A coin is tossed $3$ times, the total number of possible outcomes is:

1. $3$
2. $6$
3. $4$
4. $8$

Q.

Question 41

In the experiment of tossing a coin one time, the outcome is either ___ or ___.

Q. State the following statement is true or false

1. True
2. False

Q. Two coins are tossed simultaneously. Write the sample space $S$ and the number of sample point $n\left(S\right)$. $A$ is the event of getting at least one head. Write the event $A$ in set notation and find $n\left(A\right)$

Q.

Question 43

Each outcome or a collection of outcomes in an experiment makes an ___.

Q.

Question 53

The total number of outcomes when a coin is tossed, is ___,

Q. What are the total number of unique outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls?

1. 7
2. 9
3. 12
4. 8

Q. A dice is thrown two times and sum of the numbers appearing on the dice are noted. What are the number of possible distinct outcomes?

1. 6
2. 11
3. 18
4. 36

Q.

A red die and a blue die are thrown at the same time. List all the possible outcomes in a systematic way. What is the most likely total?

Q.

Question 53

The total number of outcomes when a coin is tossed, is ___,

Q.

Three similar coins were tossed simultaneously 500 times and the frequency distribution of heads obtained on each toss is as below.

$$\begin{array}{ccccc}Numberofheads& 0& 1& 2& 3\\ Frequency& 60& 175& 200& 65\end{array}$$

Find the probability of (i) getting all three heads;

(ii) getting an odd number of heads. [2 MARKS]

Q.

There is a bag which contains 50 balls of same size. 20 of those balls are red in colour and remaining 30 are white. Now, if you take a ball out from 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. Identify the experiment for the statement "Toss a coin to get head or tail".

1. Tossing a coin
2. Throw a die
3. Rolling of a dice
4. Pick a card

Q. From a group of $2$ men and $3$ women, two persons are selected. Describe the sample space of the experiment. If $E$ is the event in which one man and one woman are selected, then which are the cases favourable to $E$ ?