Alocker combination contains four digits. each digit can be from 0 through 9. what is the probability that a 4-digit combination chosen at random is made up of 4 digits that are all greater than 6 if each digit can be repeated?
1. find the total number of possible outcomes.
1. (10)(10)(10)(10)
2. find the number of favorable outcomes.
2. (3)(3)(3)(3)
3. use the formula
3.
p (event) = number of favorable outcomes
number of possible outcomes

Step-by-step explanation:

We know that the probability of an event is:

Note that between 0 and 9 there are 10 possible digits {0,1,2,3,4,5,6,7,8,9}

If each digit can be repeated and the combination has 4 digits then the number of possible combinations S is:

If all digits obtained must be greater than six, then the possible digits that can be obtained are three: {7,8,9}.

If the combination is 4 digits then the number of results that can be obtained are:

So:

Number of favorable outcomes = 81

Number of possible outcomes = 10,000

Finally the probability is:

whatvare the choices

step-by-step explanation: