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Class 10 Maths Chapter 14 Question Answers - Probability
Question 1. In a sample study of 640 people, it was found that 500 people go for yoga regularly in the morning.
(a) If a person is selected at random, then what is the probability that the person does not go for yoga exercise?
(b) Which mathematical concept is used in the above problem?
(c) By going for yoga, which value is depicted by the people?
Sol. (a) Since, the sample study is made on 640 people.
Number of people going for yoga regularly = 500
∴ Number of people who do not go for yoga = 640 – 500 = 140
⇒ Total possible outcomes = 640
Number of favourable outcomes = 140
∴ Probability of people who do not go for yoga = (140/640) = (7/32)
= 0.21875
(b) Probability
(c) Health awareness.
Question 2. In class IX, there are 40 students of whom 25 are girls and 15 are boys. They plan to spread awareness about water management in different localities. Their class teacher has to select one student for the group representative. She written the name of each student on a separate card, put them in a bag and stir thoroughly. She then draws one card at random from the bag.
(a) What is the probability that the name written on the card is the name of a girl student?
(b) What is the probability that the name written on the card is the name of a boy student?
(c) Which mathematical concept is used in the above problem?
(d) By spreading awareness about water management, which skill is depicted by the class IX students?
Sol. Number of girls = 25
Number of boys = 15
Total number of students = 25 + 15 =40
(a) Total number of outcomes = 40
Favourable number of outcomes = 25
⇒ The probability that the representative of the group is a girl-student
=(25/40) = (5/8)
(b) ä Total number of outcomes = 40
∴ Favourable number of outcomes = 15
⇒ The probability that the representative of the group is a boy-student
= (15/40) = (3/8)
(c) Probability
(d) Proper use of natural resources.
FAQs on Class 10 Maths Chapter 14 Question Answers - Probability
| 1. What is probability and how is it related to class 9? |  |
| 2. How is probability calculated in class 9? | |
Ans. In class 9, probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. The probability of an event is represented as a fraction, decimal, or percentage. For example, if a dice is rolled, the probability of getting a 6 is 1/6 as there is only one favorable outcome out of six possible outcomes.
| 3. What are some real-life examples of probability that are taught in class 9? | |
Ans. Class 9 probability lessons often include real-life examples to help students understand the concept better. Some examples include tossing a coin, rolling dice, drawing cards from a deck, or predicting the chance of rain based on weather forecasts. These examples demonstrate how probability can be applied to everyday situations.
| 4. How can probability be used in decision-making? | |
Ans. Probability plays a crucial role in decision-making by providing a framework to assess the likelihood of different outcomes. It helps individuals make informed choices by considering the probability of each option. For example, a business may use probability to estimate the success of a marketing campaign or an individual may use probability to decide whether to invest in a particular stock.
| 5. Can probability be used to predict the future? | |
Ans. Probability cannot predict the future with certainty, but it can provide an estimate of the likelihood of certain events occurring. By analyzing past data and using probability models, predictions can be made about future events. However, it is important to note that probability is based on chance and uncertainty, and there is always a margin of error in any prediction.
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