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A coin is tossed at random 100 times and tail is obtained 52 times. What is the probability of getting a head?
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A coin is tossed at random 100 times and tail is obtained 52 times. Wh...
Understanding the Coin Toss Experiment
When a coin is tossed, there are two possible outcomes: heads or tails. In this scenario, a coin is tossed 100 times, resulting in 52 tails. We want to calculate the probability of getting heads based on this experiment.
Calculating Total Outcomes
- The total number of tosses = 100.
- The number of tails obtained = 52.
Finding Heads
To find the number of heads, subtract the number of tails from the total tosses:
- Number of heads = Total tosses - Number of tails
- Number of heads = 100 - 52 = 48
Calculating Probability of Heads
Probability is defined as the number of successful outcomes divided by the total number of possible outcomes. Therefore, the probability of getting heads can be calculated as follows:
- Probability of heads = Number of heads / Total tosses
- Probability of heads = 48 / 100
This simplifies to:
- Probability of heads = 0.48
Conclusion
The probability of obtaining heads when a coin is tossed 100 times, with 52 tails observed, is 0.48. This indicates that, based on this experiment, there is a 48% chance of getting heads in a single toss of this coin.
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A coin is tossed at random 100 times and tail is obtained 52 times. What is the probability of getting a head?
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