If i were to randomly generate a 4-digit number, how likely is it that my number will include at least 1 seven?

Probability that  number will include at least 1 seven is   .

Step-by-step explanation:

Here we have , if i were to randomly generate a 4-digit number, We need to find how likely is it that my number will include at least 1 seven . Let's find out:

Out of 10 digits ( 0,1,2,3,4,5,6,7,8,9) , We are supposed to find probability to generate a 4 digit number with at least  one times 7 . We can find this as Probability for at least one 7 = 1 -  Probability for no 7

Total number of combinations =

Total number of combinations without 7  =

Probability of Number without 7 =

⇒ Probability of Number without 7 =

⇒ Probability of Number without 7 =

∴ Probability for at least one 7 = 1 -  Probability for no 7

⇒

⇒

Therefore ,Probability that  number will include at least 1 seven is   .

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step-by-step explanation: