Apresidential candidate plans to begin her campaign by visiting the capitals in 4 of 42 states. what is the probability that she selects the route of four specific capitals? is it practical to list all of the different possible routes in order to select the one that is best?
p(she selects the route of four specific capitals):
is it practical to list all of the different possible routes in order to select the one that is best?
a.
yes, it is practical to list all of the different possible routes because the number of possible permutations is very small.
b.
yes, it is practical to list all of the different possible routes because the number of possible permutations is very large.
c.
no, it is not practical to list all of the different possible routes because the number of possible permutations is very small.
d.
no, it is not practical to list all of the different possible routes because the number of possible permutations is very large.

P (She selects the route of four specific capitals) =

D. No,it is not practical to list all of the different possible routes because the number of possible permutations is very large.

Step-by-step explanation:

Let's start assuming that each route is equally likely to be chosen.

Assuming this, we can calculate P(A) where the event A is ''She selects the route of four specific capitals'' doing the following :

P(A) = Favourable cases in which the route of four specific capitals is selected / Total number of ways in 4 of 42 states

The favourable cases in which the route of four specific capitals is selected is equal to 1 .

For the denominator we need the permutation number of 4 in 42.

The permutation number is defined as :

The probability of event A is :

Finally for the other question : The option D is the correct because the number of possible permutations is 2686320 and is very large to be listed.

answer: sorry

step-by-step explanation: can you tell me pls how to find the rational of two integers

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.