1) Which of the following points are valid with respect to conditional probability?
- Conditional Probability gives 100% accurate results.
- Conditional Probability can be applied to a single event.
- Conditional Probability has no effect or relevance or independent events.
- None of the above.
Correct answer: 3
Conditional Probability has no effect or relevance or independent events.
Independent events are those events that neither cause any effect nor are affected by the occurrence of some other event. Hence, the Conditional Probability has no effect or relevance on the independent events.
2) Among which of the following mentioned statements will the conditional probability be applied?
- The number occurred on rolling a die one time.
- What will the temperature tomorrow?
- What card will get on picking a card from a fair deck of 52 cards?
- What output will we get on tossing a coin once?
Options:
- Only iv.
- All i., ii., iii. and iv.
- ii. and iv.
- Only ii.
Correct answer: 4
Only ii.
The upcoming day’s temperature as it depends on various factors such as wind speed, current temperature, and humidity level, etc. So, the future weather conditions are dependent upon these factors and thus it is a dependent event and hence conditional property can be applied to it.
3) On which of the mentioned points does the Conditional Probability reasonable to apply?
- Dependent Events
- Independent Events
- Neither a. nor b.
- Both a. and b.
Correct answer: 1
Dependent Events
Independent events are those events that neither cause any effect nor are affected by the occurrence of some other event. Hence, the Conditional Probability has no effect or relevance on the independent events.
4) The results that we get after we apply conditional probability to a problem are,
- 100% accurate
- Estimated values
- Wrong values
- None of the above
Correct answer: 2
Estimated values
Like all other probabilistic theory methods, conditional probability also helps us to derive an estimate about how much an event is likely to occur or happen.
5) State whether the following condition is true or false?
"The independent events are affected by the happening of some other events which may occur simultaneously or have occurred before it."
- True
- False
Correct answer: 2
False
The given statement is false because dependent events are affected by the happening of some other events which may occur simultaneously or have occurred before it, not the independent events.