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Two coins are tossed simultaneously. The probability of getting at most one tail is?
  • a)
    2/4   
  • b)
    1/4  
  • c)
    3/4   
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two coins are tossed simultaneously. The probability of getting at mos...
Condition is at most 1 tail means no tail is also acceptable
so No of ways- 3 (T,H), (H,T), (H,H)
Total No of ways-2*2=4 (T,T), (H,H),(T,H), (H,T)
Probability=3/4 { thus Option C }
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Community Answer
Two coins are tossed simultaneously. The probability of getting at mos...
Probability of getting at most one tail:
To find the probability of getting at most one tail when two coins are tossed simultaneously, we need to consider all the possible outcomes and determine the favorable outcomes.

Possible outcomes:
When two coins are tossed simultaneously, there are four possible outcomes:
1. Both coins land heads up (HH)
2. Coin 1 lands heads up and Coin 2 lands tails up (HT)
3. Coin 1 lands tails up and Coin 2 lands heads up (TH)
4. Both coins land tails up (TT)

Favorable outcomes:
We need to determine the favorable outcomes where there is at most one tail. Let's analyze each possible outcome:
1. Both coins land heads up (HH) - No tails, favorable outcome.
2. Coin 1 lands heads up and Coin 2 lands tails up (HT) - One tail, favorable outcome.
3. Coin 1 lands tails up and Coin 2 lands heads up (TH) - One tail, favorable outcome.
4. Both coins land tails up (TT) - Two tails, not a favorable outcome.

From the above analysis, we have three favorable outcomes: HH, HT, TH.

Probability calculation:
To determine the probability, we need to divide the number of favorable outcomes by the total number of possible outcomes.

Number of favorable outcomes = 3
Total number of possible outcomes = 4

Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3/4

Therefore, the probability of getting at most one tail when two coins are tossed simultaneously is 3/4, which corresponds to option 'C'.
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Two coins are tossed simultaneously. The probability of getting at most one tail is?a)2/4b)1/4c)3/4d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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