When Probability is strictly less than

  • Thread starter Dwolfson
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In summary, when calculating probabilities for continuous distributions, there is no need to use 1-P(X<1)^{c} = 1-P(X\geq1). The software or tables will allow you to calculate P(X<1) accurately.
  • #1
Dwolfson
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When Probability is strictly less than should I compute something like P(X<1) as:

1-P(X<1)[tex]^{c}[/tex] = 1-P(X[tex]\geq[/tex]1)

Thanks,
D
 
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  • #2
Short answer: no, there is no need to do that. Software (or tables, if you still need to use those) will allow you to calculate [tex] P(X < 1) [/tex] and things similar just fine.
 
  • #3
Dwolfson said:
When Probability is strictly less than should I compute something like P(X<1) as:

1-P(X<1)[tex]^{c}[/tex] = 1-P(X[tex]\geq[/tex]1)

Thanks,
D

When you are dealing with continuous distributions the probability of 1 - P(X < 1) and 1 - P(X <= 1) are treated the same. If the random variable is discrete it will make a difference.
 

1. What does it mean when probability is strictly less than 1?

When probability is strictly less than 1, it means that the event in question has a less than 100% chance of occurring. This could also be expressed as a probability of 0 to 0.99.

2. How is probability determined to be strictly less than 1?

Probability is determined by calculating the ratio of the number of favorable outcomes to the total number of possible outcomes. If this ratio is less than 1, then the probability is considered to be strictly less than 1.

3. What are some examples of events with a probability strictly less than 1?

Some examples of events with a probability strictly less than 1 include rolling a 6 on a standard six-sided die, drawing a red card from a deck of cards, or flipping a coin and getting heads.

4. How is probability different when it is strictly less than 1 compared to when it is equal to 1?

When probability is strictly less than 1, there is still a chance that the event may not occur. However, when probability is equal to 1, the event is certain to occur.

5. Can probability ever be negative or greater than 1?

No, probability cannot be negative or greater than 1. Probability is always expressed as a value between 0 and 1, where 0 represents impossibility and 1 represents certainty.

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