If a 6-sided die is rolled then P(less than 6) is [tex]\frac{5}{6}[/tex]
What is probability?
- Probability refers to the chance of occurring of an event.
- Probability is always ≤ 1
How to calculate probability ?
Probability can be found by dividing the favourable cases by the total possible cases.
How to find P(less than 6)?
- P(less than 6) means the probability of getting a number which is less then 6 after the die is rolled.
- When a die is rolled each outcome has the probability of [tex]\frac{1}{6}[/tex]
We know that if a die is rolled, the possible outcomes are {1,2,3,4,5,6}
- Here, we should consider the outcomes {1,2,3,4,5}. These are favourable outcomes.
To get the probability of getting a number which is less then 6 after the die is rolled, we can add the probabilities of each outcome.
∴ Probability of getting a number which is less then 6 = ( [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex])
= [tex]\frac{5}{6}[/tex]
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