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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?
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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