Q. If a student is selected at random from a group of 20 students, where 12 are girls and 8 are boys, what is the probability that the selected student is a boy?
A.
2/5
B.
1/2
C.
3/5
D.
1/4
Solution
The probability of selecting a boy is the number of boys divided by the total number of students, which is 8/20 = 2/5.
Q. In a group of 50 people, 30 like tea, 20 like coffee, and 10 like both. What is the probability that a randomly selected person likes either tea or coffee?
A.
0.4
B.
0.6
C.
0.5
D.
0.7
Solution
Using the principle of inclusion-exclusion, the number of people who like either tea or coffee is 30 + 20 - 10 = 40. The probability is 40/50 = 0.8.
Q. In a lottery, there are 10 tickets, and 3 of them are winning tickets. If one ticket is drawn at random, what is the probability that it is a winning ticket?
A.
1/10
B.
1/3
C.
3/10
D.
7/10
Solution
The probability of drawing a winning ticket is 3/10.
Q. In a lottery, there are 100 tickets, and 10 of them are winning tickets. If one ticket is drawn at random, what is the probability that it is a winning ticket?
A.
1/10
B.
1/5
C.
1/20
D.
1/50
Solution
The probability of drawing a winning ticket = Number of winning tickets / Total tickets = 10/100 = 1/10.
Q. What is the probability of getting a sum of 7 when two dice are rolled?
A.
1/6
B.
1/12
C.
1/36
D.
1/3
Solution
The possible outcomes for a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) which gives us 6 favorable outcomes. Total outcomes when rolling two dice = 6 * 6 = 36. Therefore, P(sum of 7) = 6/36 = 1/6.
Understanding the fundamentals of Probability Basics is crucial for students aiming to excel in their exams. This topic not only forms the backbone of many mathematical concepts but also plays a significant role in scoring well in objective questions. By practicing MCQs and important questions related to Probability Basics, students can enhance their exam preparation and boost their confidence.
What You Will Practise Here
Basic definitions and concepts of probability
Types of probability: theoretical, experimental, and subjective
Key formulas for calculating probabilities
Understanding events: independent, dependent, and mutually exclusive
Application of probability in real-life scenarios
Common probability distributions and their properties
Solving objective questions and practice questions for better clarity
Exam Relevance
Probability Basics is a significant topic in various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of basic concepts, calculations, and real-world applications. Common question patterns include multiple-choice questions that require students to apply formulas and concepts to solve problems efficiently.
Common Mistakes Students Make
Confusing independent and dependent events
Misapplying probability formulas in different contexts
Overlooking the importance of sample space in calculations
Failing to distinguish between theoretical and experimental probability
FAQs
Question: What are the basic concepts of probability I should know? Answer: Key concepts include definitions of probability, types of events, and basic probability formulas.
Question: How can I improve my score in Probability Basics MCQs? Answer: Regular practice of objective questions and understanding the underlying concepts will greatly enhance your performance.
Start solving Probability Basics MCQs today to test your understanding and prepare effectively for your exams. Remember, practice is the key to success!
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