Asafe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. what is the probability
that the lock code consists of all even digits?
to find the total number of outcomes for this event, find the permutation of
ings taken 4 at a time.
the total number of outcomes is
the total number of favorable outcomes is a permutation of things taken 4 at a time
the probability that the lock code consists of all even digits is out of 3,024.

the probability is of 0.79%

Step-by-step explanation:

There are 4 numbers, 0 not included, and there is no number repeated.

First, the total number of combinations will be:

c1 = 9*8*7*6 = 3024

this is because the first number has 9 possibilities to chose, the second will have 8 possibilities, because one number is already taken, and so on.

Now, we have 4 even numbers: 2, 4, 6, 8

the total possible combinations of those 4 numbers are calculated in the same way: the first number has 4 possibilities, the second has 3, and so on

c2 = 4*3*2*! = 24

now, the probability that the code consists only in even numbers is equal to the number of combinations of only pair numbers divided the total number of combinations:

p = c2/c1 = 24/3024 = 0.0079

for a percentage, we multiply this number by 100%

0.0079*100% = 0.79%

x+y = 29, 5x + 2y = 100

step-by-step explanation:

i'm guessing it was a multiple first option was the correct answer

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.