# Probability Worksheets

## CBSE Probability Worksheets

For scoring good marks in the Mathematics examination one needs a lot of practice. Here we provide a geometric probability worksheet pdf on all of the important math topics for CBSE Classes 6, 7, 8, 9, 10, 11, and 12. With the help of these geometric probability worksheets pdf, the students can practice very well and improve their preparation level for the final exams.

Go through all the important topics that all the student needs to know, which includes integers, algebra, decimals, geometry, arithmetic, trigonometry, time, measurement, and much more. Students can match the solutions with the answer keys and get appropriate feedback to analyze mistakes and correct them.

### What is Probability?

Probability is known as the chance of some of the events to occur. When we need to know about the probability of a particular event which has to take place, we think of the chances that we expect in accordance to every possibility that can happen.

When you aren't sure about the result of a specific event, you'll specify the chances or how likely the result. Analyzing the events that are governed by probability is known as Statistics. Statistics Problems can be solved using math formulas.

A simple example that defines the basics of probability is flipping a coin.

We will get two possible outcomes when a coin is flipped, i.e,

• Tails

What will be the probability for a fair coin (which has two different faces) that it lands on the Heads?

Since there are only two possible outcomes which will occur out of 1, hence the probability of the coin landing on Heads would be

Hence, P(H) = 0.5 or 50%

Here, we bring you the geometric probability worksheet pdf to assist you in improving within the probability concepts that also include applied mathematics, probability statistics along with applications of probability.

### Probability Formula

The probability formula is defined because of the likelihood of an occasion to happen. It is equal to the ratio of the number of favorable results and the total number of outcomes. The formula for the probability of an occasion to occur is given by:

P(E) = Total Number of the favorable outcomes/Total Number of the outcomes

### Probability Worksheet for Class 9

1. Two coins are tossed at the same time for 400 times and we get 2 times of heads which equals 180 times, one head = 148 times, and no head = 70 times. If two coins are tossed at random, what is the probability of getting 2 heads, 1 head and 0 heads.

2. According to the meteorological report for 300 consecutive days during a year, its weather outlook was correct 180 times. Out of those days, at some point was chosen randomly, what's the probability that the weather outlook was correct thereon day and not correct there on the day.

3. In a match, a batsman hit the boundary 5 times out of 40 balls played by him. Find the probability that the boundary isn't hit by the ball.

4. In a survey of 200 ladies, it had been found that 142 like coffee, while 58 dislike it. Find the probability that a woman chose at the present likes coffee and dislike coffee.

5. In an ongoing cricket match, a batsman hits boundary 6 times in 30 balls he plays. Find the probability that he didn't hit a ball.

### Probability Worksheet for Class 10

The 10th-grade probability worksheets are mentioned as follows:

1. A coin is tossed once, what's the probability of getting a head.

2. A die is thrown only once, so find the probability of getting a decent number and a multiple of three,

3. Two dice are thrown at an equivalent time, find the probability that the sum of two numbers appearing on the highest of the dice is quite nine.

4. A bag has 5 red balls and some blue balls. If the probability of drawing a blue ball from the bag is supposed to be three times that of the red ball, then what will be the number of blue balls within the bag.

5. One card is drawn randomly from a well-shuffled deck of 52 cards. Find the probability that the card that is drawn may be a king, a red 8, a spade, a red card, the six of the club, and a face card.

Above are the mentioned points for the 10th-grade probability worksheets.

Question 1) A Bag has a Red Ball, a Blue Ball, and a Yellow Ball, all the Balls are the same Size. Kritika takes a Ball Out of the Bag Without Looking Into it. What is the Probability that She Picks the:

(i) Yellow Ball?

(ii) Red Ball?

(iii) Blue Ball?

Solution) Kritika takes a ball from the bag without looking into it. So, it is very likely that she will take out any one of them from the bag.

Let Y be the event and the ball which is taken out is yellow’, B be the event and the ball taken out is blue’, and R will be the event and the ball which is taken out is red’.

The number of possible outcomes equals Number of balls in the bag which is = n(S) = 3.

(i) The number of the outcomes favorable to the event Y will be = n(Y) = 1.

So, P(Y) equals n(Y)/n(S) = ⅓

So, (ii) P(R) = ⅓

and (iii) P(B) = ⅓

Question 2) One Card is Drawn from a Well-Shuffled Deck of 52 Cards. Calculate the Probability that the Card will

(i) be an Ace,

(ii) not be an Ace.

Solution) Well-shuffling gives us the possibility for equally likely outcomes.

(i) Card drawn is an ace

There are four aces in a deck.

Let E be the event where the card is an ace’.

The number of the outcomes favourable to E will be = n(E) = 4

The number of possible outcomes equals Total number of cards which is = n(S) = 52

Therefore, P(E) = n(E)/n(S) = 4/52 = 1/13

(ii) Card which is drawn is not an ace

Let F be the event for the card which is drawn is not an ace’.

The number of the outcomes which are favourable for the event F = n(F) = 52 – 4 = 48

So, P(F) = n(F)/n(S) = 48/52 = 12/13