Asecurity alarm requires a four digit code. the code can use 0-9 and the digits cannot be repeated. what is the approximate probability that the code only contains odd number

0.02381

Step-by-step explanation:

Given: The number of digits from which a security code is made (0-9) = 10

The number of odd digits (1, 3, 5, 7, 9 )= 5

By using Permutations , the number of ways to make a four digit number such that no digit is repeated :-

The number total number of ways of making four digit number from the 10 digits such that no digit is repeated:-

The probability that the code only contains odd number is given by :-

Hence, the approximate probability that the code only contains odd number = 0.02381

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it