# Event and Outcome

## Trending Questions

**Q.**

What is the difference between at least one head and at most one head in probability?

**Q.**A number is selected at random from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9 The probability that the selected number is their average is

(a) $\frac{1}{10}$

(b) $\frac{3}{10}$

(c) $\frac{7}{10}$

(d) $\frac{9}{10}$

**Q.**A girl calculates that the probability of her winning first prize in a lottery is 0.08. If 6000 tickets are sold, then how many tickets has she bought?

- 480
- 40
- 240
- 740

**Q.**

The probability that a non-leap year selected at random will have 53 Mondays is

^{45}/_{52}^{7}/_{52}^{1}/_{7}^{52}/_{365}

**Q.**

If three dice are thrown together, then the probability of getting $5$ on at least one of them is

$\frac{125}{216}$

$\frac{215}{216}$

$\frac{1}{216}$

$\frac{91}{216}$

**Q.**

The probability of the product of a perfect square when$2$dice are thrown together, is:

$\frac{2}{9}$

$\frac{1}{9}$

$\frac{5}{18}$

None of these

**Q.**

A coin is tossed two times. Find the probability of getting at most one head.

0.55

0.75

0.65

0.25

**Q.**

An integer is chosen at random between 1 to 100 .find the probability that it is:(i) divisible by 8 (i)not divisible by 8.

**Q.**Question 23

A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, then how many tickets has she bought?

(a) 40

(b) 240

(c) 480

(d) 750

**Q.**Question 22

Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.

**Q.**A number x is selected at random from the numbers 1, 4, 9, 16 and another number y is selected at random from the numbers 1, 2, 3, 4. Find the probability that the value of xy is more than 16.

**Q.**

If two coins are tossed $5$ times, then the probability of getting $5$ heads and $5$ tails is

$\frac{63}{256}$

$\frac{1}{1024}$

$\frac{2}{205}$

$\frac{9}{64}$

**Q.**

A number x is chosen from the numbers -3, -2, -1, 0, 1, 2, 3. The probability that |x|< 2 is

^{5}/_{7}^{2}/_{7}^{3}/_{7}^{1}/_{7}

**Q.**A number is selected from numbers 1 to 25. The probability that it is prime is

(a) $\frac{2}{3}$

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

(c) $\frac{1}{3}$

(d) $\frac{5}{6}$

**Q.**

Three different dice are thrown three times. What is the probability that they show different numbers only two times?

**Q.**

Two dice are tossed. The probability that the total score is a prime number is

$\frac{1}{6}$

$\frac{5}{12}$

$\frac{1}{2}$

**None of these**

**Q.**

What is the probability of getting a “FULL HOUSE” in five cards drawn in a poker game from a standard pack of $52$-cards?

[A FULL HOUSE consists of $3$ cards of the same kind (eg, $3$ Kings) and $2$ cards of another kind (eg, $2$ Aces)]

$\frac{6}{4165}$

$\frac{4}{4165}$

$\frac{3}{4165}$

None of these

**Q.**A card is selected at random from a deck of 52 playing cards. The probability of not getting a face card is

1213

1013

1152

313

**Q.**

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see the given figure), and these are equally likely outcomes. What is the probability that it will point at

(i) 8?

(ii) an odd number?

(iii) a number greater than 2?

(iv) a number less than 9?

**Q.**

Which of the following arguments are correct and which are not correct? Give reasons for your answer.

(i) If two coins are tossed simultaneously there are three possible outcomes−−two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is.

(ii) If a die is thrown, there are two possible outcomes−−an odd number or an even number. Therefore, the probability of getting an odd number is.

**Q.**A number x is selected at random from the numbers 1, 2, 3 and 4. Another number y is selected at random from the numbers 1, 4, 9 and 16. Find the probability that product of x and y is less than 16.

**Q.**

Find the probability of getting a multiple of 2 on one die and a multiple of 3 on the other die, if pair of dice are thrown.

518

14

13

1136

**Q.**

A coin is tossed once. What is the probability of getting tail?

**Q.**Find the probability that a number selected at random from the numbers 1, 2, 3, ..., 35 is a

(i) prime number

(ii) multiple of 7

(iii) a multiple of 3 or 5

**Q.**If a number 'x' is chosen from the nos. 1, 2, 3 and number 'y' is selected from the numbers 1, 4, 9.

Find the probability that xy=10

**Q.**

What is the probability that a positive integer not exceeding $100$ selected at random is divisible by $3$$?$

**Q.**

The corners of regular tetrahedrons are numbers $1,2,3,4$. Three tetrahedrons are tossed. The probability that the sum of upward corners will be $5$ is

$\frac{5}{24}$

$\frac{5}{64}$

$\frac{3}{32}$

$\frac{3}{16}$

**Q.**

A die is rolled. If $\mathrm{X}$ denotes the number of positive divisors of the outcomes then the range of the random variable $\mathrm{X}$ is

$\{1,2,3\}$

$\{1,2,3,4\}$

$\{1,2,3,4,5,6\}$

$\{1,3,5\}$

**Q.**Four unbiased coins are tossed simultaneously. The probability that exactly two heads occur will be

116

38

316

516

**Q.**

A standard pair of six-sided dice are rolled. What is the probability of rolling a sum less than or equal to $10$ ?