Random Experiment

Q. Question 1
List the outcomes you can see in these experiments.
(a) Spinning a wheel (b) Tossing two coins together

Q.

Four fair dice $D_{1,}{D}_{2,}{D}_{3,}$and $D_{4,}$each having six faces numbered $1,2,3,4,5$and $6$are rolled simultaneously. The probability that $D_4$shows a number appearing on one of $D_1,D_2$ and $D_3$is

1. $\frac{91}{216}$

2. $\frac{108}{216}$

3. $\frac{125}{216}$

4. $\frac{127}{216}$

Q.

In a single throw of two dice, find the probability of getting six as a product.

Q.

A pair of dice is thrown once. Find the probability of getting an even number on the first dice.

Q.

Question 5

Which of the following is not a random experiment?

(a) Tossing a coin

(b) Rolling a dice

(c) Choosing a card from a deck of 52 cards

(d) Thowing a stone from a roof of a building

Q. Question 2(i)
When a die is thrown, list the outcomes of an event of getting:
(a) a prime number (b) not a prime number

Q.

A bag contains lemon flavoured candies only . Malini takes out one candy without looking into the bag . What is the probability that she takes out

(1) an orange flavoured candy

(2) a lemon flavoured candy

Q.

Question 44

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

Q.

Which of the following is not a random experiment? (a) Tossing a coin (b) Rolling a dice (c) Choosing a card from a deck of 52 cards (d) Throwing a stone from a roof of a building

1. Tossing a coin

2. Rolling a dice

3. Choosing a card from a deck of $52$ cards

4. Throwing a stone from a roof of a building

Q.

A random experiment is an experiment for which the outcome cannot be predicted with certainty.

1. True

2. False

Q.

Assume you roll a die 4 times. What is the probability that you will get exactly one 6 ?

Q.

A bag contains 5 red marbles, 8 white marbles, 4 green marbles. What is the probability that if one marble is taken out of the bag at random, it will be

(i) red (ii) white (iii) not green

Q. The letters of the words HELLO and THERE are written on individual cards and the cards placed into a bag.Acard is picked at random.Whar is the probability of picking:
a.the letter L
B. the letter E.
C.the letter L orE
D.the letter E or a consonant
E. The letter L, E or T.

Q.

Three six faced fair dice are thrown together.

The probability that the sum of the numbers appearing on the dice is $k(3\le k\le 8)$, is

1. $\frac{\left(k-1\right)\left(k-2\right)}{432}$

2. $\frac{k\left(k-1\right)}{432}$

3. $\frac{k^2}{432}$

4. None of these

Q.

When two dice are rolled:

(i) List the outcomes for the event that the total is odd.

(ii) Find probability of getting an odd total.

(iii) List the outcomes for the event that total is less than 5.

(iv) Find the probability of getting a total less than 5?

Q.

If $n$ positive integers are taken at random and multiplied together, then the probability that the last digit of the product is $2,4,6$or $8$, is

1. $\frac{(4^n+2^n)}{5^n}$

2. $\frac{\left(4^{n}x{2}^n\right)}{5^n}$

3. $\frac{(4^n-2^n)}{5^n}$

4. None of these

Q. Question 2(ii)
When a die is thrown, list the outcomes of an event of getting:
(a) a number greater than 5 (b) a number not greater than 5

Q.

A bag contains $5$ black balls and $3$ white balls.

Two balls are drawn at random, one after another from the bag without replacement.

What the probability that both of the balls have the same color?

Q.

In a simultaneous throw of a pair of dice, find the probability of getting a total more than $7$.

Q.

A die is thrown twice. Find the probability of $4$ turning up at least once.

Q.

A bag contains 1 red ball, 1 green ball, 2 blue balls and 1 black ball. What is the probability of getting a white ball?

1. 0

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

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

4. 1

Q.

One cannot predetermine the outcome of a random experiment.

1. True

2. False

Q. A SET consists of ____ set of cards.

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

Q. Find the probability of getting 53 sundays in :
1) a non-leap year
2)leap year

Q.

A coin was tossed 100 times. What is the maximum probability of occurrence of tail?

1. 0.5

2. 0

3. 1

4. -1

Q. Two dice are thrown together. The probability of the sum of the numbers that appear on the two faces that is divisible by either 4 or 6 is .

1. $\frac{1}{9}$
2. $\frac{1}{6}$
3. $\frac{7}{18}$

Q.

Picking a chocolate from a bag having 100 same identical dairy milk chocolates is a random experiment.

1. True

2. False

Q.

Question 80

To verify Pythagoras theorem is a random experiment ?

Q. A coin is tossed 200 times and the head appears on the top face 150 times what is the probability that on the 202 throw we would get a tail

Q. Question 2(i)
When a die is thrown, list the outcomes of an event of getting:
(a) a prime number (b) not a prime number