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Probability of getting a head when two unbiased coins are tossed simultaneously is
- a)0.25
- b)0.5
- c)0.20
- d)0.75
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Probability of getting a head when two unbiased coins are tossed simul...
Solution:
When two unbiased coins are tossed simultaneously, there are 4 possible outcomes:
- HH (both coins land heads up)
- HT (first coin lands heads up, second coin lands tails up)
- TH (first coin lands tails up, second coin lands heads up)
- TT (both coins land tails up)
Out of these 4 possible outcomes, there is only 1 outcome where we get at least 1 head (HH, HT, TH). Therefore, the probability of getting a head when two unbiased coins are tossed simultaneously is:
- P(head) = number of outcomes with at least 1 head / total number of outcomes
- P(head) = 3 / 4
- P(head) = 0.75
Therefore, the correct answer is option 'B' (0.50 is incorrect because it assumes that getting a head is the only possible outcome).
When two unbiased coins are tossed simultaneously, there are 4 possible outcomes:
- HH (both coins land heads up)
- HT (first coin lands heads up, second coin lands tails up)
- TH (first coin lands tails up, second coin lands heads up)
- TT (both coins land tails up)
Out of these 4 possible outcomes, there is only 1 outcome where we get at least 1 head (HH, HT, TH). Therefore, the probability of getting a head when two unbiased coins are tossed simultaneously is:
- P(head) = number of outcomes with at least 1 head / total number of outcomes
- P(head) = 3 / 4
- P(head) = 0.75
Therefore, the correct answer is option 'B' (0.50 is incorrect because it assumes that getting a head is the only possible outcome).
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Community Answer
Probability of getting a head when two unbiased coins are tossed simul...
Favourable number of outcomes, getting one head ={HT, TH}
Total number of outcomes ={HH, HT, TH, TT}
Probability =2/4=1/2
Total number of outcomes ={HH, HT, TH, TT}
Probability =2/4=1/2
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Probability of getting a head when two unbiased coins are tossed simultaneously isa)0.25b)0.5c)0.20d)0.75Correct answer is option 'B'. Can you explain this answer?
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