Class 10 Exam > Class 10 Notes > Mathematics (Maths) Class 10 > Value Based Questions: Probability
Class 10 Maths Chapter 14 Question Answers - Probability
VALUE BASED QUESTIONS
Q1. Roshan is a wholesaler of electric-bulbs. He sells a box of 600 electric bulbs which contains 12 defective bulbs to an electrician. He gives 12 extra bulbs to the electrician. In the process of replacing the defective bulbs by non-defective bulbs, the electrician takes out one bulb at random from the box.
(a) What is the probability that it is non-defective bulb?
(b) Which mathematical concept is used in the above problem?
(c) By giving 12 extra non-defective bulbs to the electrician, which value is depicted by Roshan?
Sol. (a) Total number of bulbs in the box = 600
Number of defective bulbs = 12
Number of non-defective bulbs = 600 – 12 = 588
Number of possible events = 600
Number of favourable events = 588
(b) Probability
(c) Honesty
Q2. There are 40 students in class X, of whom 25 are girls and 15 are boys. They plan to go to help the earthquake victims in a camp. Their class-teacher has to select one student at random for the class representative.
(a) What is the probability that the student selected for class-representative is (i) a girl (ii) a boy
(b) Which mathematical concept is used in the above problem?
(c) By planning to go for the help of earthquake victims, which value is depicted by the students of class X?
Sol. (a) Total number of students in the class = 40
Number of boys = 15 Number of girls = 25
(i) Since, the class representative selected at random is to be a girl
∴ Number of possible outcomes = 40
Number of favourable outcomes = 25
[∵ There are 25 girls in the class]
∴ Probability of a girl to be the representative
(ii) Since, the class-representative selected at random is to be a boy
∴ Number of favourable outcomes = 15
⇒ Probability of a boy to be the representative = 
(b) Probability
(c) Helping the persons, in need.
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FAQs on Class 10 Maths Chapter 14 Question Answers - Probability
| 1. What is probability and why is it important? |  |
Ans. Probability is the measure of the likelihood that an event will occur. It is important because it helps us make predictions and decisions based on the likelihood of certain outcomes. Understanding probability enables us to assess risks, analyze data, and make informed choices.
| 2. How do you calculate the probability of an event? | |
Ans. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if you want to find the probability of rolling a 6 on a fair die, there is only one favorable outcome (rolling a 6) out of six possible outcomes (rolling numbers 1 to 6). So the probability would be 1/6.
| 3. What is the difference between theoretical probability and experimental probability? | |
Ans. Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. It is determined by analyzing the possible outcomes of an event. On the other hand, experimental probability is based on actual data collected from experiments or observations. It is determined by conducting trials and recording the outcomes. Experimental probability may differ from theoretical probability due to factors like sampling error or biased data.
| 4. How can probability be used in real-life situations? | |
Ans. Probability has various applications in real-life situations. For example, it can be used in weather forecasting to predict the likelihood of rain or snow. In insurance, probability is used to determine premiums by assessing the risk of certain events occurring. Probability is also used in gambling and games of chance, such as determining the odds of winning in a card game or lottery.
| 5. What is conditional probability and how is it calculated? | |
Ans. Conditional probability is the probability of an event occurring given that another event has already occurred. It is calculated by dividing the probability of both events occurring by the probability of the given condition. For example, if you want to find the probability of drawing a red card from a standard deck of cards, given that a card has already been drawn and not replaced, you would divide the number of red cards remaining by the number of cards remaining in the deck.
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