Looks like you're thinking thatimjello said:a. probability its even .5 (5/10)/ probability its greater than 40(1/5) .2 = 2.5 which is over one so obviously wrong
Nope. Like in part a, the setup would beimjello said:b. probability its greater than 40(1/5) .2 / .5= .4
There are 10 numbers in the container that are larger than 40. How many of them are even?imjello said:A number is selected randomly from a container containing all the integers from 10 to 50 find
a) p(even|greater than 40)
There are 21 numbers in the container that are even. How many of them are greater than 40?b) p(greater than 40| even)
There are 19 numbers in the container between 20 and 40. How many of them are prime?c) p(prime| between 20 and 40)
please provide an explanation, thanks a lot =D
Conditional probability is the likelihood of an event occurring given that another event has already occurred. It is expressed as P(A|B), where A is the event of interest and B is the known event.
Conditional probability can be calculated by dividing the probability of the intersection of the two events (P(A∩B)) by the probability of the known event (P(B)). This can also be written as P(A|B) = P(A∩B) / P(B).
Conditional probability takes into account the occurrence of a known event, while unconditional probability does not. Unconditional probability is the likelihood of an event occurring without any prior knowledge or condition.
One example of conditional probability is the likelihood of getting a head on a coin toss given that the coin is fair. The probability of getting a head is 0.5, but if we know that the coin is fair, the probability becomes 1.
Conditional probability is used in many real-life applications, such as in medical diagnosis, weather forecasting, and risk assessment. It allows us to make more accurate predictions and decisions by taking into account the likelihood of an event given certain conditions.