Question

What is the minium value of probability?​

Answer 1

Answer:

To find the minimum value of P(A and B), consider that any probability cannot exceed 1, so the maximum P(A or B) is 1. Remember, P(A or B) = P(A) + P(B) – P(A and B) Therefore, the actual value of P(A and B) will lie somewhere between 0.1 and 0.4 (both inclusive).

Answer 2

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.

Additional information:

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.