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When unbiased coins are tossed. The probability of getting both heads or both tails is
- a)½
- b)¾
- c)¼
- d)none
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
When unbiased coins are tossed. The probability of getting both heads ...
Probability of Getting Both Heads or Both Tails
Explanation:
When two unbiased coins are tossed, there are four possible outcomes:
- Head, Head
- Head, Tail
- Tail, Head
- Tail, Tail
Out of these four outcomes, only two outcomes have both heads or both tails:
- Head, Head
- Tail, Tail
Therefore, the probability of getting both heads or both tails is:
P(both heads or both tails) = P(Head, Head) + P(Tail, Tail)
Since the coins are unbiased, the probability of getting a head or a tail on a single coin toss is 1/2. Therefore, the probability of getting both heads or both tails is:
P(both heads or both tails) = P(Head, Head) + P(Tail, Tail) = 1/2 × 1/2 + 1/2 × 1/2 = 1/4 + 1/4 = 1/2
Hence, the correct answer is option 'A' - 1/2.
Explanation:
When two unbiased coins are tossed, there are four possible outcomes:
- Head, Head
- Head, Tail
- Tail, Head
- Tail, Tail
Out of these four outcomes, only two outcomes have both heads or both tails:
- Head, Head
- Tail, Tail
Therefore, the probability of getting both heads or both tails is:
P(both heads or both tails) = P(Head, Head) + P(Tail, Tail)
Since the coins are unbiased, the probability of getting a head or a tail on a single coin toss is 1/2. Therefore, the probability of getting both heads or both tails is:
P(both heads or both tails) = P(Head, Head) + P(Tail, Tail) = 1/2 × 1/2 + 1/2 × 1/2 = 1/4 + 1/4 = 1/2
Hence, the correct answer is option 'A' - 1/2.
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Community Answer
When unbiased coins are tossed. The probability of getting both heads ...
The 4 possibilities when 2 coins are tossed is TT,HH,TH and HT
the probability of getting two heads and two tails is
=favourable outcomes /total outcomes
=2/4
=1/2
the probability of getting two heads and two tails is
=favourable outcomes /total outcomes
=2/4
=1/2
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When unbiased coins are tossed. The probability of getting both heads or both tails isa)b)c)d)noneCorrect answer is option 'A'. Can you explain this answer?
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