Coin Tossing Experiment

Q.

What are the numbers of possible outcomes when a coin is tossed in the air?

1. 2

2. 3

3. 1

4. 0

Q.

Toss a coin 6 times. Note down its outcomes. Repeat the activity once more and compare its outcomes.

Q. Determine the probability of three coins falling all heads up when tossed simultaneously.

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

Q.

Find the probability of getting a head when a coin is tossed in air.

1. 1/2

2. 1/3

3. 1/5

4. 1/4

Q.

Three coins are tossed simultaneously $200$ times with the following frequencies of different outcomes. If the three coins are simultaneously tossed again, compute the probability of $2$ heads coming up.

Outcome	$3$ heads	$2$heads	$1$ head	No head
Frequency	$23$	$72$	$77$	$28$

Q.

A coin is tossed $7$ times. What is the probability of getting all tails? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

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

$$\begin{array}{cccccc}\text{No of faulty devices in a packet}& \text{Less than 24}& 24-36& 36-48& \text{more than 48}& \text{Total Batteries}\\ \text{Number of batteries}& 50& 240& 550& 160& 1000\end{array}$$

(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. A coin is tossed 1000 times with the following frequencies:

Head: 445,

Tail: 555

When a coin is tossed at random, what is the probability of getting (i) a head? (ii) a tail?

Q.

When a coin is tossed, what is the probability of occurrence of "head" as the outcome?

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

Q. A coin is tossed $100$ times and tail is obtained $10$ times. Now, if a coin is tossed at random, what is the probability of getting a head?

1. $\frac{9}{10}$
2. $\frac{90}{10}$
3. $\frac{100}{10}$
4. $\frac{11}{10}$

Q.

A coin was tossed 1500 times and out of these, 100 times, the coin stuck somewhere so the result was not counted. The frequency of occurrence of a head was 700. Find the probability of occurrence of a tail.

1. 0.46

2. 0.5

3. 0.3

4. 1

Q.

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

1. 0.5

2. 1

3. 0

4. 0.75

Q.

What is the sample space when two coins are tossed (H stands for head and T stands for tail)?

1. HH, HT, TH, TT

2. HH, TT

3. HT, TH

4. TH, HT, TT

Q. if there are 6 green socks, 4 blue socks, and 2 red socks in a drawer, what is the probability that you randomly select a blue socks?

Q. If we throw two unbiased dice, what is the probability getting doublets?

1. 1/18
2. 7/18
3. 5/6
4. 1/6

Q. A die is thrown. What is the probability of getting 6?

1. $\frac{1}{6}$
2. 0
3. 1
4. $\frac{1}{3}$

Q. Find the number of elements in the sample space if 3 coins are tossed.

1. $6$
2. $12$
3. $10$
4. $8$

Q.

An experiment of tossing a coin 1000 times is performed. What is the probability that the occurrence of the head is greater than 1000 times?

1. 1

2. -1

3. 2

4. 0

Q.

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes.

$$\begin{array}{ccccc}Outcomes& 3heads& 2heads& 1head& Nohead\\ Frequency& 23& 72& 77& 28\end{array}$$

Compute the probability of 2 heads coming up.

1. 7/11

2. 9/25

3. 25/29

4. 23/35