Coin Tossing Experiment

Q.

In a single throw of dice, what is the probability of getting a sum of 9?

Q.

Three integers are chosen at random from the first $20$ integers. The probability that their product is even is

1. $\frac{2}{19}$

2. $\frac{3}{29}$

3. $\frac{17}{19}$

4. $\frac{4}{19}$

Q.

Find the probability that a leap year selected at random contains 53 Tuesdays.

Q.

If a coin is tossed two times, what is the probability of
(i) getting head at least once?
(ii) getting exactly one head? [2 MARKS]

Q.

Two Coins Are Tossed Simultaneously. Find the Probability of Getting Exactly One Head.

Q. If 4 coins are tossed simultaneously, then the maximum number of outcomes would be ?

1. 9
2. 5
3. 16
4. 8

Q.

What is the probability of getting a number greater than $4$?

Q.

A coin is tossed 100 times with the following frequency.
Head:55, Tail:45
The probabilities of getting a head and a tail respectively are

1. 

2. 

3. 

4. 

Q.

A coin is tossed 1000 times, if the probability of getting a tail is $\frac{3}{8}$ , how many times head is obtained?

Q.

Two coins are tossed simultaneously 500 times with the following frequencies of different outcomes :

Two heads : 95 times

One tail : 290 times

No head : 115 times

Find the probability of occurrence of each these events.[NCERT]

Q. Question 13 (ii)
A dice is thrown once. Find the probability of getting a number lying between 2 and 6.

Q.

A coin is tossed three times. The probability of getting a head once and a tail twice is

1. $\frac{1}{8}$

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

3. $\frac{3}{8}$

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

Q.

Three coins are tossed simultaneously 100 times with the following frequencies of different outcomes :

$\begin{array}{ccccc}\text{Outcome}& \text{No head}& \text{One head}& \text{Two heads}& \text{Three heads}\\ \text{Frequency}& 14& 38& 36& 12\end{array}$

If the three coins are simultaneously tossed again, compute the compute the probability of :

(i) 2 heads coming up. (ii)3 heads coming up.

(iii) at least one head coming up. (iv) getting more heads than tails.

(v) getting more tails heads.

Q.

If a coin is tossed twice, find the probability of getting at least one head.

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

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

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

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

Q.

Two coins are tossed simultaneously. The probability of getting atmost one head is

Q. When 3 coins are tossed simultaneously, the probability of getting exactly 1 head is $\frac{3}{8}$.

1. False
2. True

Q.

A coin is tossed 500 times with the following frequencies of two outcomes:
head = 245 times
tail = 255 times

What is the probability of getting a head in the next throw?

1. 0.49

2. 0.51

3. 0.45

4. 0.5

Q.

A coin is tossed 1000 times with the following frequencies

Head: 455, Tail: 545.

Compute the probability for each event

Q.

A bag contains 50 coins and each coin is marked from 51 to 100 . One coin is picked at random . The probability that the number on the coin is not a prime number is

(A) 1/5

(B) 3/5

(C) 2/5

(D) 4/5

Q.

Imagine tossing a fair coin $3$ times. What is the sample space for this chance process and what is the assignment of probabilities to outcome in this sample space?

Q.

Two coins are tossed 400 times and we get

two heads:112 limes; one head: 160 times; 0 head: 128 limes.

When two coins are tossed at random, what is the prohability of getting

(i) 2 heads? (ii) 1 head? (iii) 0 head?

Q.

The probability of getting $4$ heads in $8$ throws of a coin is

1. $\frac{60}{256}$

2. $\frac{70}{216}$

3. $\frac{35}{128}$

4. $\frac{27}{128}$

Q.

What is the probability of an event that Monday is the first day of a week? How?

Q.

Two coins are tossed simultaneously 600 times to get

2 heads: 234 times, 1 head: 206 times, 0 head: 160 times.

If two coins are tossed at random, what is the probability of getting at least one head?

(a) $\frac{103}{300}$

(b) $\frac{39}{100}$

(c) $\frac{11}{15}$

(d) $\frac{4}{15}$

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.

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

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

Find the probability of getting at most two heads.

Q. A coin tossed 15 times and observed that head comes up 11 times . find the probabilistically of that a tail comes up

Q. Question 1 (ii)
Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on consecutive days?

Q.

The chances of throwing a total of $3$ or $5$ or $11$ with two dice is

1. $\frac{5}{36}$

2. $\frac{1}{9}$

3. $\frac{2}{9}$

4. $\frac{19}{36}$

Q. Define a trial.