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A die is thrown 300 times and odd numbers are obtained 153 times. Then, the probability of getting an even number is
- a)174/300
- b)147/300
- c)147/153
- d)153/300
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A die is thrown 300 times and odd numbers are obtained 153 times. Then...
To find the probability of getting an even number when a die is thrown 300 times, we need to determine the number of even outcomes and divide it by the total number of outcomes.
Let's break down the problem step by step:
Step 1: Determine the total number of outcomes
Since a die has 6 faces, the total number of outcomes when it is thrown is 6.
Step 2: Determine the number of even outcomes
An even number can be obtained by throwing a 2, 4, or 6. These are 3 out of the 6 possible outcomes.
Step 3: Calculate the probability
The probability of an event happening is given by the formula:
Probability = Number of favorable outcomes / Total number of outcomes
In this case, the number of favorable outcomes is 3 (getting an even number) and the total number of outcomes is 6.
Probability = 3/6 = 1/2
This means that the probability of getting an even number on a single throw of the die is 1/2.
Since the die is thrown 300 times and odd numbers are obtained 153 times, we can find the number of even outcomes by subtracting the number of odd outcomes from the total number of throws:
Number of even outcomes = Total number of throws - Number of odd outcomes
Number of even outcomes = 300 - 153 = 147
Therefore, the probability of getting an even number is given by:
Probability = Number of even outcomes / Total number of throws
Probability = 147/300
Simplifying the fraction, we get:
Probability = 49/100 = 147/300
So, the correct answer is option 'B', 147/300.
Let's break down the problem step by step:
Step 1: Determine the total number of outcomes
Since a die has 6 faces, the total number of outcomes when it is thrown is 6.
Step 2: Determine the number of even outcomes
An even number can be obtained by throwing a 2, 4, or 6. These are 3 out of the 6 possible outcomes.
Step 3: Calculate the probability
The probability of an event happening is given by the formula:
Probability = Number of favorable outcomes / Total number of outcomes
In this case, the number of favorable outcomes is 3 (getting an even number) and the total number of outcomes is 6.
Probability = 3/6 = 1/2
This means that the probability of getting an even number on a single throw of the die is 1/2.
Since the die is thrown 300 times and odd numbers are obtained 153 times, we can find the number of even outcomes by subtracting the number of odd outcomes from the total number of throws:
Number of even outcomes = Total number of throws - Number of odd outcomes
Number of even outcomes = 300 - 153 = 147
Therefore, the probability of getting an even number is given by:
Probability = Number of even outcomes / Total number of throws
Probability = 147/300
Simplifying the fraction, we get:
Probability = 49/100 = 147/300
So, the correct answer is option 'B', 147/300.
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A die is thrown 300 times and odd numbers are obtained 153 times. Then...
B
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A die is thrown 300 times and odd numbers are obtained 153 times. Then, the probability of getting an even number isa)174/300b)147/300c)147/153d)153/300Correct answer is option 'B'. Can you explain this answer?
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