## What is the minium value of probability?​

Question

What is the minium value of probability?​

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3 hours 2021-09-14T18:57:03+00:00 2 Answers 0 views 0

## Answers ( )

1. ### Minimum value of probability:

• Probability of an event always lies between 0 and 1.
• 0 ≤ P ≤ 1
• Hence maximum probability of event is 1.
• Also minimum probability of event is 0.
• Generally we call such events as impossible events.
• Let us take an example as below.

•°• Eg. Consider two coins are tossed simultaneously.

•°• Sample space ( S ) = {HH, HT, TH, TT}.

•°• Let A be the event of getting three heads

•°• We cannot get three heads as only two coins are tossed.

•°• A = { }

•°• P(A) = n(A) / n(S)

•°• n(S) = 4

•°• n(A) = 0

•°• P(A) = 0 / 4

•°• P(A) = 0

•°• So here we can clearly see that the probability of an impossible event is zero as the name itself says it is impossible.

Example for maximum value of probability:

°•° Consider rolling a die.

°•° Sample space ( S ) = {1, 2, 3, 4, 5, 6}.

°•° Let B be the event of getting a natural number less than 7.

°•° All numbers of a die are below 7 and are natural numbers.

°•° B = {1, 2, 3, 4, 5, 6}.

°•° P(B) = n(B) / n(S)

°•° n(S) = 6

°•° n(B) = 6

°•° P(B) = 6 / 6

°•° P(B) = 1

°•° So here we can clearly see that the probability of the event is one which is the maximum value of probability.