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From the following which number cannot b...

From the following which number cannot be the probability of any number :

A

`(2)/(3)`

B

`-1.5 `

C

`15 %`

D

`0.7%`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which number cannot be the probability of any event, we need to recall the basic properties of probabilities. The probability of any event must always lie between 0 and 1, inclusive. This means that: - The minimum value of probability is 0 (impossible event). - The maximum value of probability is 1 (certain event). Now, let's analyze the given options step by step: ### Step-by-Step Solution: 1. **Option 1: \( \frac{2}{3} \)** - Convert \( \frac{2}{3} \) to a decimal: \[ \frac{2}{3} = 0.6667 \text{ (approximately)} \] - Since \( 0.6667 \) is between 0 and 1, this is a valid probability. 2. **Option 2: \( 2 \)** - The value is \( 2 \). - Since \( 2 \) is greater than 1, this cannot be a valid probability. 3. **Option 3: \( 15\% \)** - Convert \( 15\% \) to a decimal: \[ 15\% = \frac{15}{100} = 0.15 \] - Since \( 0.15 \) is between 0 and 1, this is a valid probability. 4. **Option 4: \( 0.7\% \)** - Convert \( 0.7\% \) to a decimal: \[ 0.7\% = \frac{0.7}{100} = 0.007 \] - Since \( 0.007 \) is between 0 and 1, this is a valid probability. ### Conclusion: The only number that cannot be the probability of any event from the given options is **Option 2: \( 2 \)**.
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MBD -HARYANA BOARD-PROBABILITY -SHORT ANSWER TYPE QUESTIONS
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  6. One card is drawn from a well - shuffled deck of cards . Find the prob...

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  7. A box contains 5 red , 8 white and 4 green balls . A ball is drawn at ...

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  8. A card is drawn from a well shuffled deck of playing cards. Find the p...

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  9. A box contains 6 red 7 white and 5 black balls . A ball is drawn at ra...

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  10. A card is drawn from a well shuffled pack of playing cards . Find the ...

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  11. It is given that in a group of 3 students the probability of 2 student...

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  12. A die is thrown once . Find the probability of getting any number lyin...

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  13. A box contains 3 blue 2 white and 4 red marbles . If a marble is drawn...

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  14. A bag contains 3 red balls and 5 black balls. A ball is drawn at ra...

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  15. Five cards the ten, jack, queen king and ace of diamonds, are well...

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  16. A game of chance consists of spinning an arrow which comes to rest poi...

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  17. A lot of 20 eggs contains 5 defective eggs . One egg is drawn at rando...

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  18. A die is thrown once. Find the probability of getting (i) a prime numb...

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  19. A box contains 90 discs which are numbered from 1 to 90. If one disc ...

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  20. 12 defective pens are accidently mixed with 132 good ones. It is no...

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  21. A lot consists of 144 ball pens of which 20 are defective and the o...

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