The notes for CBSE chapter 15 class 10 maths are given in this section in detail. Let's take a look at the concept of probability, experimental probability, theoretical probability, and the many terminologies used in probability. Probability is a field of mathematics that evaluates the uncertainty about the occurrence of an event via the use of numbers. The probability that an event will take place or will not take place is stated on a scale ranging from 0 to 1.
Which of the following experiments has the same chance of producing a positive result? Explain.
A driver tries unsuccessfully to start his automobile but is unsuccessful. Starting the car is either a success or a failure.
A basketball player tries to make a shot with the ball. She or he either makes or misses the shot.
A true-false question is presented to the participants in a trial. The answer is either correct or incorrect.
A child is born into the world. It's either a boy or a girl, depending on who you ask.
2. Fill in the blanks with the appropriate information:
E is the product of the probability of an event E and the probability of an event 'not E.' = ___________.
The likelihood of an event occurring that cannot occur is __________. This kind of incident is referred to as ________.
The likelihood of an event occurring is the probability of it occurring. _________. This kind of incident is referred to as _________.
The probability of all of the elementary occurrences in an experiment is equal to the sum of all of their probabilities. __________.
The likelihood of an event occurring is higher than or equal to ___ as well as being less than or equal to __________.
3. Why is it thought to be a fair method of determining which team should get the ball at the start of a football game when a coin toss is performed?
4. Which of the following cannot be true about the likelihood of an event occurring?
(A) 2/3 (B) -1.5 (C) 15% (D) 0.7
5. What is the chance of 'not E' occurring if P(E) = 0.05?
6. Only lemon-flavoured sweets are included inside a bag. Malini grabs one candy out of the bag without peeking inside it first. What is the likelihood that she will be successful?
(i) Is there a candy with orange flavouring?
(ii) Is there a lemon-flavoured candy?
7. For example, it is said that in a group of three students, the likelihood of two students sharing the exact birthdate is 0.992. In what percentage of cases do the two pupils have the same birthday?
8. Three red balls and five black balls are contained inside a bag. A ball is picked at random from the bag to represent each player. What is the likelihood that the ball drawn is the correct one?
(I) Red?
(II) Not red?
9. Five red marbles, eight white marbles, and four green marbles are contained inside a box. Every time a marble is plucked out of the box at random, the game is over. What is the likelihood that the stone that was taken out will be returned?
(i) red?
(ii) white?
(iii) not green?
10. A piggy bank includes hundred 50p coins, fifty ₹ one coins, twenty ₹ two coins, and ten ₹ five coins. The likelihood that one of the coins will fall out when the bank is flipped upside down is equal to one. What is the probability that the coin will not fall out?
(i) will it be a 50 p coin?
(ii) will it not be a ₹5 coin?
Refer to the Class 10 Probability Solutions mentioned above for more details.
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