Mathematics Exam > Mathematics Questions > A man has 5 coins, two of which are double - ...
Start Learning for Free
A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head is
- a)1/5
- b)2/5
- c)3/5
- d)4/5
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A man has 5 coins, two of which are double - headed, one is double - t...
Required probability = P(DH | H) + P(DT | H)
Most Upvoted Answer
A man has 5 coins, two of which are double - headed, one is double - t...
Probability of selecting a coin:
There are a total of 5 coins, so the probability of selecting any one of them is 1/5.
Possible outcomes of the coin toss:
When the selected coin is tossed, there are three possible outcomes: head, tail, or edge.
Calculating the probability of getting a head:
To calculate the probability of getting a head, we need to consider the different types of coins and their probabilities of showing a head.
1. Double-headed coins:
There are two double-headed coins, so the probability of selecting one of them is 2/5. Since both sides of these coins are heads, the probability of getting a head is 1.
2. Double-tailed coin:
There is one double-tailed coin, so the probability of selecting it is 1/5. Since both sides of this coin are tails, the probability of getting a head is 0.
3. Normal coins:
There are two normal coins, so the probability of selecting one of them is 2/5. Since these coins have one head and one tail, the probability of getting a head is 1/2.
Calculating the overall probability:
Now, we can calculate the overall probability of getting a head by considering the probabilities of each type of coin and their respective probabilities of showing a head.
Probability of getting a head = (Probability of selecting a double-headed coin * Probability of getting a head with a double-headed coin) + (Probability of selecting a double-tailed coin * Probability of getting a head with a double-tailed coin) + (Probability of selecting a normal coin * Probability of getting a head with a normal coin)
Probability of getting a head = (2/5 * 1) + (1/5 * 0) + (2/5 * 1/2) = 2/5 + 0 + 1/5 = 3/5
Therefore, the probability that the lower face of the coin is a head is 3/5, which corresponds to option 'C'.
There are a total of 5 coins, so the probability of selecting any one of them is 1/5.
Possible outcomes of the coin toss:
When the selected coin is tossed, there are three possible outcomes: head, tail, or edge.
Calculating the probability of getting a head:
To calculate the probability of getting a head, we need to consider the different types of coins and their probabilities of showing a head.
1. Double-headed coins:
There are two double-headed coins, so the probability of selecting one of them is 2/5. Since both sides of these coins are heads, the probability of getting a head is 1.
2. Double-tailed coin:
There is one double-tailed coin, so the probability of selecting it is 1/5. Since both sides of this coin are tails, the probability of getting a head is 0.
3. Normal coins:
There are two normal coins, so the probability of selecting one of them is 2/5. Since these coins have one head and one tail, the probability of getting a head is 1/2.
Calculating the overall probability:
Now, we can calculate the overall probability of getting a head by considering the probabilities of each type of coin and their respective probabilities of showing a head.
Probability of getting a head = (Probability of selecting a double-headed coin * Probability of getting a head with a double-headed coin) + (Probability of selecting a double-tailed coin * Probability of getting a head with a double-tailed coin) + (Probability of selecting a normal coin * Probability of getting a head with a normal coin)
Probability of getting a head = (2/5 * 1) + (1/5 * 0) + (2/5 * 1/2) = 2/5 + 0 + 1/5 = 3/5
Therefore, the probability that the lower face of the coin is a head is 3/5, which corresponds to option 'C'.
|
Explore Courses for Mathematics exam
|
|
Similar Mathematics Doubts
A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer?
Question Description
A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer?.
A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer?.
Solutions for A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A man has 5 coins, two of which are double - headed, one is double - tailed and two are normal. He shuts his eyes, picks a coin at random, and tosses it. The probability that the lower face of the coin is a head isa)1/5b)2/5c)3/5d)4/5Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Mathematics tests.
|
|
Explore Courses for Mathematics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup