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The probability of having atleast one head in 5 throws of a coin is
- a)1/32
- b)5/32
- c)31/32
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The probability of having atleast one head in 5 throws of a coin isa)1...
**Solution:**
When we toss a coin, the possible outcomes are head (H) or tail (T).
- The probability of getting a head on any one toss of a fair coin is 1/2.
So, the probability of getting a tail on any one toss of a fair coin is also 1/2.
**Finding the probability of having at least one head in 5 throws:**
To find the probability of having at least one head in 5 throws of a coin, we can use the concept of complementary events.
- The complementary event of having at least one head in 5 throws is having no heads in 5 throws.
The probability of having no heads in 5 throws is:
- (1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/32
Therefore, the probability of having at least one head in 5 throws is:
- 1 - 1/32 = 31/32
Hence, the correct option is (c) 31/32.
When we toss a coin, the possible outcomes are head (H) or tail (T).
- The probability of getting a head on any one toss of a fair coin is 1/2.
So, the probability of getting a tail on any one toss of a fair coin is also 1/2.
**Finding the probability of having at least one head in 5 throws:**
To find the probability of having at least one head in 5 throws of a coin, we can use the concept of complementary events.
- The complementary event of having at least one head in 5 throws is having no heads in 5 throws.
The probability of having no heads in 5 throws is:
- (1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/32
Therefore, the probability of having at least one head in 5 throws is:
- 1 - 1/32 = 31/32
Hence, the correct option is (c) 31/32.
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The probability of having atleast one head in 5 throws of a coin isa)1/32b)5/32c)31/32d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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