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Two coins are tossed simultaneously. Find the probability of getting exactly one head.
- a)3/4
- b)2/3
- c)1/4
- d)1/2
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Two coins are tossed simultaneously. Find the probability of getting e...
Total outcomes =(HH, HT, TH, TT) = 4
Favourable outcomes = (HT, TH) =2
Probability = 2/4=1/2
Favourable outcomes = (HT, TH) =2
Probability = 2/4=1/2
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Community Answer
Two coins are tossed simultaneously. Find the probability of getting e...
Probability of Getting Exactly One Head
To find the probability of getting exactly one head when two coins are tossed simultaneously, we need to consider all possible outcomes and determine the favorable outcomes.
Possible Outcomes
When two coins are tossed simultaneously, there are four possible outcomes:
- Head, Head (HH)
- Head, Tail (HT)
- Tail, Head (TH)
- Tail, Tail (TT)
Favorable Outcomes
We are interested in the favorable outcomes where exactly one head appears. From the possible outcomes, there are three favorable outcomes:
- Head, Tail (HT)
- Tail, Head (TH)
- Tail, Tail (TT)
Probability Calculation
The probability of an event is calculated by dividing the number of favorable outcomes by the number of possible outcomes.
Number of favorable outcomes = 3
Number of possible outcomes = 4
Therefore, the probability of getting exactly one head is:
P(Exactly one head) = Number of favorable outcomes / Number of possible outcomes
P(Exactly one head) = 3/4
Conclusion
The correct answer is option D, 1/2. This means that there is a 50% chance of getting exactly one head when two coins are tossed simultaneously.
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Two coins are tossed simultaneously. Find the probability of getting exactly one head.a)3/4b)2/3c)1/4d)1/2Correct answer is option 'D'. Can you explain this answer?
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