Probability

Q. When a coin is tossed once what are the possible outcomes?

Q. How many outcomes can you get when you toss three coins once?

1. 5
2. 6
3. 7
4. 8

Q. According to the question an unbiased dice is thrown and the probability of getting an even no. And a multiple of 3 is 1/6... But zero is also a even and a multiple of 3 (proof: 2-2 is 0 and 3*0 is 0 respectively)... So answer should be 2/6 ie. 1/3... Please clear my doubt. 😃

Q. Statement 1: The probability of a sure event is 1.
Statement 2: The probability of an impossible event is 0.
Statement 3: For an event E, $0\le P\left(E\right)\le 1$.
Which of the above statement(s) are true?

1. Only Statement 2
2. Only Statement 3
3. Statements 1, 2 and 3
4. Only Statement 1

Q.

If Ram buys a bag of coins which has identical gold, silver, copper and iron coins, then what are all the possible outcomes that he can get while randomly pulling out a coin.

Q.

What is the study of probability?

Q. A letter is chosen from the word EXPERIMENT. What is the probability that it is "M"?

1. $\frac{1}{10}$
2. $\frac{2}{10}$
3. $\frac{3}{10}$
4. $\frac{7}{10}$

Q.

The different timings at which Sachin comes to the office on different days of the week is 1pm, 3pm, 8am, 4am, 7am, 12pm, 5pm. Find the probability that Sachin comes on a particular day before 10am.

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

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

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

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

Q.

Question 79

In a throw of a die, the probability of getting an even number is the same as that of getting an odd number ?

Q. What is the probability of getting a number greater than 4 when you roll a die?

1. 1/6
2. 4/6
3. 1/2
4. 1/3

Q.

There are 200 packets in a large box and each packet contains 3 electric devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below

$$\begin{array}{cccccc}Nooffaultydevicesinapacket& Lessthan24& 24-36& 36-48& morethan48& TotalBatteries\\ Numberofbatteries& 50& 240& 550& 160& 1000\end{array}$$

(i) If a buyer will only tolerate atthe maximum one faulty piece in a packet, what is the probability that a packet will be rejected?
(ii) Another buyer will only take packets with all the pieces functional. What is the probability that a packet will be rejected? [4 MARKS]

Q. How many outcomes can we get when three dice are rolled simultaneously?

1. 6
2. 216
3. 36
4. 1296

Q. If A and B are two events such that P(A) = $\frac{1}{2}$ and P(B) = $\frac{2}{3}$, then

1. 
2. 
3. All of the above
4. 

Q. The probability of getting '0' on a dice is 0.

1. True
2. False

Q. If the frequencies of first four numbers out of $1,2,4,6,8$ and $2,3,3,2$ respectively, then find the frequency of $8$ if their $A.M.$ is $5$, is

1. $4$
2. $5$
3. $6$
4. none of these

Q. In a single throw of a coin, what is the probability of getting a tail?

Q.

It is $82\%$ likely that India will win the match means that

1. There is 100% chance that India will win

2. There is 18% chance for India to lose the match. So India will definitely not win

3. There is 82% chance that India will win. So India will certainly win

4. There is 82% chance that India will win but we cannot say that India will definitely win

Q. A glass jar contains 6 red, 5 green, 4 blue, and 5 yellow marbles of same size. Hari takes out a marble of red colour. What is the probability that the chosen marble is of red colour?

1. $\frac{7}{10}$
2. $\frac{3}{10}$
3. $\frac{4}{5}$
4. $\frac{2}{5}$

Q. What is the probability of getting an even number when you roll a die?

1. 0.5
2. 0.25
3. 0
4. 1

Q. When a coin is tossed, the total number of possible outcomes is:

1. 5
2. 2
3. 1
4. 6

Q.

Question 73

On throwing a die once, the probability of occurence of an even number is $\frac{1}{2}$.

Q.

Question 27

In a throw of a die, the probability of getting the number 7 is:

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

(b) $\frac{1}{6}$

(c) 1

(d) 0

Q. "There is a good chance that the Prime Minister of India will visit Australia". What does this statement imply?

1. The Prime minister will visit Australia.
2. The Prime minister will not visit Australia.
3. It is more likely that the Prime minister will visit Australia.
4. It is more likely that the Prime minister will not visit Australia.

Q.

A coin is tossed $150$ times and the outcomes are recorded. The frequency distribution of the outcomes $H$ (i.e., head) and $T$ (i.e., tail) is given below :

Outcome	$H$	$T$
Frequency	$85$	$65$

Find the value of $P\left(H\right)$, i.e., probability of getting a head in a single trial.

1. $P\left(H\right)=0.769$ (approx)
2. $P\left(H\right)=0.663$ (approx)
3. $P\left(H\right)=0.567$ (approx)
4. None of these
   

Q. When a dice is tossed once, there are 6 equally likely outcomes.

1. False
2. True

Q. A coin is tossed 4 times. Which of the following can be the probability of getting a head ?

1. $\frac{1}{2}$
2. $\frac{1}{4}$
3. $\frac{3}{5}$
4. \N
5. $\frac{2}{3}$
6. $\frac{3}{4}$
7. $\frac{2}{5}$
8. 1

Q.

If ram buys a bag of coins which has identical gold, silver, copper and iron coins, then what are all the possible outcomes that he can get while randomly pulling out a coin. [2 MARKS]

Q. True or False

Probability tells us the chance of something that may or may not happen but NOT if it has already happened.

Q. There are $44$ students in class $X$ of a school of whom $32$ are boys and $12$ are girls. The class teacher has to select one student as a class representative. He writes the name of each student on a separate card, the cards being identical. Then he puts cards in a bag and stir them thoroughly. He then draws one card from the bag. What is the probability that the name written on the card is the name of a girl?

1. $\frac{1}{11}$
2. $\frac{5}{11}$
3. $\frac{7}{11}$
4. None of these
   

Q.

In a test of x questions , y(<x) answers are correct. Assuming all questions were answered, the number of incorrect answers are

1. 1

2. x-y

3. y-x

4. 0