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(Direction 1 - 22) Write down the correct answers. Each question carries 5 marks.
Q. If two unbiased dice are rolled, what is the probability of getting points neither 6 nor 9?
- a)0.25
- b)0.50
- c)0.75
- d)0.80
Correct answer is option 'C'. Can you explain this answer?
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(Direction 1 - 22)Write down the correct answers. Each question carrie...
Probability of getting points neither 6 nor 9 when two unbiased dice are rolled:
Step 1: Determine the total number of outcomes when two dice are rolled.
- Each die has 6 possible outcomes (numbers 1 to 6).
- Therefore, the total number of outcomes when two dice are rolled is 6 x 6 = 36.
Step 2: Determine the number of outcomes where the sum of the points is 6 or 9.
- There are 4 different ways to get a sum of 6: (1,5), (2,4), (3,3), (4,2), where the numbers in the brackets represent the points on each die.
- There are 4 different ways to get a sum of 9: (3,6), (4,5), (5,4), (6,3).
- Therefore, the total number of outcomes where the sum of the points is 6 or 9 is 4 + 4 = 8.
Step 3: Determine the number of outcomes where the sum of the points is neither 6 nor 9.
- There are 36 total outcomes, and 8 of them have a sum of 6 or 9.
- Therefore, the number of outcomes where the sum of the points is neither 6 nor 9 is 36 - 8 = 28.
Step 4: Determine the probability of getting points neither 6 nor 9.
- Probability = (Number of outcomes where the sum is neither 6 nor 9) / (Total number of outcomes)
- Probability = 28 / 36
- Probability = 0.75
Therefore, the correct answer is option C (0.75).
Step 1: Determine the total number of outcomes when two dice are rolled.
- Each die has 6 possible outcomes (numbers 1 to 6).
- Therefore, the total number of outcomes when two dice are rolled is 6 x 6 = 36.
Step 2: Determine the number of outcomes where the sum of the points is 6 or 9.
- There are 4 different ways to get a sum of 6: (1,5), (2,4), (3,3), (4,2), where the numbers in the brackets represent the points on each die.
- There are 4 different ways to get a sum of 9: (3,6), (4,5), (5,4), (6,3).
- Therefore, the total number of outcomes where the sum of the points is 6 or 9 is 4 + 4 = 8.
Step 3: Determine the number of outcomes where the sum of the points is neither 6 nor 9.
- There are 36 total outcomes, and 8 of them have a sum of 6 or 9.
- Therefore, the number of outcomes where the sum of the points is neither 6 nor 9 is 36 - 8 = 28.
Step 4: Determine the probability of getting points neither 6 nor 9.
- Probability = (Number of outcomes where the sum is neither 6 nor 9) / (Total number of outcomes)
- Probability = 28 / 36
- Probability = 0.75
Therefore, the correct answer is option C (0.75).
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(Direction 1 - 22)Write down the correct answers. Each question carries 5 marks.Q.If two unbiased dice are rolled, what is the probability of getting points neither 6 nor 9?a)0.25b)0.50c)0.75d)0.80Correct answer is option 'C'. Can you explain this answer?
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