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Two unbiased coins are tossed simultaneously. The probability of getting at most one head is
- a)5/4
- b)1/4
- c)3/4
- d)2/3
Correct answer is option 'C'. Can you explain this answer?
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Two unbiased coins are tossed simultaneously. The probability of getti...
Problem: Two unbiased coins are tossed simultaneously. The probability of getting at most one head is
a) 5/4
b) 1/4
c) 3/4
d) 2/3
Solution:
To solve this problem, we need to find the probability of getting at most one head when two unbiased coins are tossed simultaneously. Let's break down the problem step by step.
Step 1: Determine the sample space
The sample space is the set of all possible outcomes when two coins are tossed simultaneously. Since each coin has two possible outcomes (head or tail), the sample space consists of 4 outcomes: HH, HT, TH, and TT.
Step 2: Determine the favorable outcomes
In this case, we are interested in the outcomes where at most one head is obtained. This includes the outcomes HT, TH, and TT.
Step 3: Calculate the probability
The probability of an event is defined as the number of favorable outcomes divided by the number of possible outcomes. In this case, we have 3 favorable outcomes (HT, TH, and TT) out of 4 possible outcomes. Therefore, the probability of getting at most one head is:
Probability = Number of favorable outcomes / Number of possible outcomes
= 3 / 4
= 3/4
Therefore, the correct answer is option c) 3/4.
a) 5/4
b) 1/4
c) 3/4
d) 2/3
Solution:
To solve this problem, we need to find the probability of getting at most one head when two unbiased coins are tossed simultaneously. Let's break down the problem step by step.
Step 1: Determine the sample space
The sample space is the set of all possible outcomes when two coins are tossed simultaneously. Since each coin has two possible outcomes (head or tail), the sample space consists of 4 outcomes: HH, HT, TH, and TT.
Step 2: Determine the favorable outcomes
In this case, we are interested in the outcomes where at most one head is obtained. This includes the outcomes HT, TH, and TT.
Step 3: Calculate the probability
The probability of an event is defined as the number of favorable outcomes divided by the number of possible outcomes. In this case, we have 3 favorable outcomes (HT, TH, and TT) out of 4 possible outcomes. Therefore, the probability of getting at most one head is:
Probability = Number of favorable outcomes / Number of possible outcomes
= 3 / 4
= 3/4
Therefore, the correct answer is option c) 3/4.
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Community Answer
Two unbiased coins are tossed simultaneously. The probability of getti...
3/4 is correct answer
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Two unbiased coins are tossed simultaneously. The probability of getting at most one head isa)5/4b)1/4c)3/4d)2/3Correct answer is option 'C'. Can you explain this answer?
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