A coin is tossed 50 times and head is obtained 32 times. On tossing th...
Total outcome =50
Favourable outcome =32 (because the coin is tossed 50 times and head is obtained 32 times )
Probability of getting head =32/50
=16/25
=0.64
A coin is tossed 50 times and head is obtained 32 times. On tossing th...
Probability of getting a head on tossing a coin
To determine the probability of getting a head on tossing a coin, we need to consider the given information that the coin has been tossed 50 times and head was obtained 32 times.
Definition of Probability
Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.
Formula for Probability
The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Analysis
In this scenario, we are interested in the probability of getting a head on tossing a coin. Let's analyze the given information:
- The coin has been tossed 50 times.
- Head was obtained 32 times.
Favorable Outcomes
The favorable outcome in this case is getting a head on tossing a coin. Since head was obtained 32 times out of 50 tosses, we consider the number of head outcomes as the number of favorable outcomes, which is 32.
Total Outcomes
The total number of outcomes in this case is the number of times the coin has been tossed. As given, the coin has been tossed 50 times.
Calculating the Probability
To calculate the probability of getting a head, we divide the number of favorable outcomes (getting a head) by the total number of outcomes (number of tosses).
Probability (P) = Number of favorable outcomes / Total number of outcomes
Substituting the values, we have:
P = 32 / 50
Simplifying the fraction, we get:
P = 16 / 25
Answer
Therefore, the probability of getting a head on tossing a coin is 16/25 or 0.64 (rounded to two decimal places).
Conclusion
In summary, the probability of getting a head on tossing a coin can be calculated by dividing the number of favorable outcomes (getting a head) by the total number of outcomes (number of tosses). In this case, the probability is 16/25 or 0.64.
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