Probability Tes...

There are 36 cards, numbered 1 to 36. One card is drawn at random. What is the probability that the number on this card is not divisible by 5?

A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of drawing a 2 of spades or a 9 of spades.

If a fair coin is tossed twice, what is the probability of getting heads in both the trials?

From a deck of 52 cards, find the probability of selecting a card containing a multiple of 3 or 7.

Tickets numbered from 1 to 25 are mixed up together and a ticket is drawn at random. What is the probability that the ticket drawn has a prime number?

A card is drawn at random from a deck of 52 cards. Find the probability of getting a red king or a black jack.

A pair of dice is thrown and the numbers appearing have a sum greater than or equal to 10. The probability of getting a sum of 11 is

The probability of having 53 Mondays in a non-leap year is

Directions: Study the given data and answer the following question:

The table below gives the points scored by different students in a game:

Points (Class Interval)	1-10	11-20	21-30	31-40	41-50
Number of students (Frequency)	15	20	10	25	5

Out of all these students, one student is chosen at random. What is the probability that the points scored by the chosen student are 21 or more?

Rahul, a Mathematics teacher, conducts an activity in a class. The activity involves tossing 3 coins simultaneously 150 times with the following frequencies of different outcomes:

Outcomes	3 heads	2 heads	1 head	No head
Frequency	65	43	19	23

Find the probability of getting less than 2 heads in the given activity.

Two dice, A and B, are rolled at the same time. The sum of the two numbers obtained is 7. What is the probability that the number obtained on die A is greater than that obtained on die B.

The probability of finding the correct match to a question is . If the probability of not finding the correct match is , then find the value of x.

What is the probability that the given spinner will stop either on a composite number or on a prime number?

In a pack of cards numbered from 1 to 100, how many favourable outcomes are there for picking a card containing a number that is divisible by 5?

There are 6 blue, 5 red, 3 orange and 2 yellow balls in a box. A ball is drawn at random from the box. What is the probability that the ball selected is not orange?

In a sample study of 632 students, it was observed that 518 have a degree. If a student is selected at random, then find the probability that he/she does not have a degree.

A bag contains 3 orange, 2 yellow and 5 white balls. A ball is taken out of the bag at random. Find the probability that the selected ball is

(i) white
(ii) not yellow

Joseph and John are playing a card game in which a card is drawn at random from a well-shuffled deck of 52 cards by one of them. Find the probability that the card drawn is neither a spade nor a jack.

An anti-aircraft gun can fire only 4 shots at an enemy plane. The probabilities of hitting the plane in the first, second, third and fourth shots are 0.4, 0.3, 0.2 and 0.1, respectively. What is the probability that the plane gets hit?

A box contains 14 purple marbles, 9 grey marbles and 11 blue marbles. A marble is drawn at random. What is the probability that the drawn marble is not purple?

The following table gives the result of a survey asking 100 employees in a company for their favourite colour:

Choice of Colour	Frequency
Blue	20
Brown	6
Green	18
Orange	9
Purple	11
Red	28
Yellow	8
Total	100

An employee is selected at random from the group. In this context, which of the following statements is correct?

Three friends, i.e. Joseph, John and Jack, are playing a game in which a die is rolled once.

Find:
(A) Probability of getting a prime number
(B) Probability of getting a number less than 5
(C) Probability of getting a multiple of 2

Determine whether the statements are true (T) or false (F) and choose the correct alternative:

(A) Probability of an impossible event is always 1.
(B) Probability of event M = 1 + Probability of complement of event M
(C) is the probability of getting a prime number out of 1-10.
(D) When two dice and one coin are thrown simultaneously, the total number of outcomes in the sample space is 72.

Two dice are thrown. Find the probability that the product of two numbers received is even.

A coin is tossed thrice.
Statement I: Probability of getting heads at least twice is .
Statement II: Probability of getting heads only once is .

Which of the two statements is/are correct?