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A bag contains 4 red balls, 5 green balls and 7 black balls. They are mixed thoroughly and one ball is drawn at random. What is the probability of getting a black ball?
- a)7/16
- b)5/16
- c)1/4
- d)1/16
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A bag contains 4 red balls, 5 green balls and 7 black balls. They are ...
Total number of balls = 4 + 5 + 7 = 16
Number of black balls = 7
P(getting a black ball) = 7/16
Number of black balls = 7
P(getting a black ball) = 7/16
Most Upvoted Answer
A bag contains 4 red balls, 5 green balls and 7 black balls. They are ...
Total balls= 4+ 5+ 7=16
No. of black balls=7
Probability= No. of possible outcomes/Total outcomes
= 7/16 Ans.
No. of black balls=7
Probability= No. of possible outcomes/Total outcomes
= 7/16 Ans.
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Community Answer
A bag contains 4 red balls, 5 green balls and 7 black balls. They are ...
Understanding the Problem
To find the probability of drawing a black ball from the bag, we first need to know the total number of balls and how many of them are black.
Count of Balls in the Bag
- Red Balls: 4
- Green Balls: 5
- Black Balls: 7
Total Number of Balls
The total number of balls can be calculated as:
- Total Balls = Red Balls + Green Balls + Black Balls
- Total Balls = 4 + 5 + 7 = 16
Finding the Probability
Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes.
- Number of Favorable Outcomes (Black Balls) = 7
- Total Possible Outcomes (Total Balls) = 16
Thus, the probability \( P \) of drawing a black ball is given by the formula:
\[
P(\text{Black Ball}) = \frac{\text{Number of Black Balls}}{\text{Total Number of Balls}}
\]
Substituting the values:
\[
P(\text{Black Ball}) = \frac{7}{16}
\]
Conclusion
Therefore, the probability of drawing a black ball from the bag is \( \frac{7}{16} \).
This corresponds to option 'A', confirming that the answer is indeed correct.
To find the probability of drawing a black ball from the bag, we first need to know the total number of balls and how many of them are black.
Count of Balls in the Bag
- Red Balls: 4
- Green Balls: 5
- Black Balls: 7
Total Number of Balls
The total number of balls can be calculated as:
- Total Balls = Red Balls + Green Balls + Black Balls
- Total Balls = 4 + 5 + 7 = 16
Finding the Probability
Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes.
- Number of Favorable Outcomes (Black Balls) = 7
- Total Possible Outcomes (Total Balls) = 16
Thus, the probability \( P \) of drawing a black ball is given by the formula:
\[
P(\text{Black Ball}) = \frac{\text{Number of Black Balls}}{\text{Total Number of Balls}}
\]
Substituting the values:
\[
P(\text{Black Ball}) = \frac{7}{16}
\]
Conclusion
Therefore, the probability of drawing a black ball from the bag is \( \frac{7}{16} \).
This corresponds to option 'A', confirming that the answer is indeed correct.
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A bag contains 4 red balls, 5 green balls and 7 black balls. They are mixed thoroughly and one ball is drawn at random. What is the probability of getting a black ball?a)7/16b)5/16c)1/4d)1/16Correct answer is option 'A'. Can you explain this answer?
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