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A biased coin is tossed 700 times. Heads appears 300 times and tails appears 400 times. If the coin is tossed again, the probability of getting heads is
- a)3/7
- b)4/7
- c)1/2
- d)3/4
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A biased coin is tossed 700 times. Heads appears 300 times and tails a...
Here, since the coin is not a fair coin, i.e. probability isn't equal for both faces, we must take the probability from what is given in the question.
So, probability of getting heads on a coin toss = number of times heads came up/total number of coin tosses
Putting the values, this becomes 300/700=3/7
So, probability of getting heads on a coin toss = number of times heads came up/total number of coin tosses
Putting the values, this becomes 300/700=3/7
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A biased coin is tossed 700 times. Heads appears 300 times and tails a...
Given information:
- A biased coin is tossed 700 times.
- Heads appears 300 times.
- Tails appears 400 times.
To find:
The probability of getting heads on the next toss.
Approach:
Since the coin is biased, the probability of getting heads or tails is not 1/2. We need to determine the bias of the coin based on the given information and use it to calculate the probability of getting heads on the next toss.
Solution:
Step 1: Calculate the bias of the coin
The bias of the coin can be calculated by dividing the number of times heads appears by the total number of tosses.
Bias = Number of heads / Total number of tosses
Bias = 300 / 700
Bias = 3/7
Step 2: Calculate the probability of getting heads on the next toss
Since the probability of getting heads or tails on each toss remains the same, the probability of getting heads on the next toss is equal to the bias of the coin.
Probability of getting heads on the next toss = Bias of the coin
Probability of getting heads on the next toss = 3/7
Therefore, the correct answer is option A) 3/7.
- A biased coin is tossed 700 times.
- Heads appears 300 times.
- Tails appears 400 times.
To find:
The probability of getting heads on the next toss.
Approach:
Since the coin is biased, the probability of getting heads or tails is not 1/2. We need to determine the bias of the coin based on the given information and use it to calculate the probability of getting heads on the next toss.
Solution:
Step 1: Calculate the bias of the coin
The bias of the coin can be calculated by dividing the number of times heads appears by the total number of tosses.
Bias = Number of heads / Total number of tosses
Bias = 300 / 700
Bias = 3/7
Step 2: Calculate the probability of getting heads on the next toss
Since the probability of getting heads or tails on each toss remains the same, the probability of getting heads on the next toss is equal to the bias of the coin.
Probability of getting heads on the next toss = Bias of the coin
Probability of getting heads on the next toss = 3/7
Therefore, the correct answer is option A) 3/7.
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A biased coin is tossed 700 times. Heads appears 300 times and tails appears 400 times. If the coin is tossed again, the probability of getting heads isa)3/7b)4/7c)1/2d)3/4Correct answer is option 'A'. Can you explain this answer?
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