Abdul Quadeer said:Homework Statement
Seven chits are numbered 1 to 7. Three are drawn one by one with replacements. The probability that the least number on any selected chit is 5, is?
The Attempt at a Solution
We require 5 to be present on atleast one of the three chits and no number should be less than 5.
So required probability = P(three times 5) + P(two times 5) + P(one time 5)
= (1/7)3 + 1/7*1/7*2/7*3 + 1/7*2/7*2/7*3=19/343
The answer given is(3/7)3
Probability in math is a measure of the likelihood of an event occurring. It is typically expressed as a number between 0 and 1, with 0 representing impossibility and 1 representing certainty.
To calculate probability, you divide the number of desired outcomes by the total number of possible outcomes. This will give you a decimal or fraction, which can then be converted to a percentage.
Theoretical probability is based on the likelihood of an event occurring according to mathematical principles, while experimental probability is based on the results of actual trials or experiments.
Independent events are those that are not affected by previous events, while dependent events are affected by previous events and have a higher or lower probability of occurring as a result.
No, probability cannot be greater than 1 or less than 0. A probability of 1 means the event is certain to occur, while a probability of 0 means the event is impossible. Any value outside of this range does not make mathematical sense.