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This is a binomial distribution type problem, where the probability under the question is the sum
     P =       (1)
The number of trials is              7;
The indexes of success trials        k = 2,3,4,5,6,7
The probability of success trial     p = 0.57;
                                     q = 1 - p
C(n,k) = n! / (k! * (n-k)!)          are binomial coefficients.
I am going to use the Excel standard function BINOM.DIST.
It provides calculations similar sums, but only in the case, when such sums are presented in so called cumulative form
as the sums from 0 to some integer number.
Therefore, I convert the sum (1) into the cumulative form.
In cumulative form, the sum  (1)  is equal to  1 - .     (2)
Now, when the sum is presented in cumulative form, you may use the Excel function 
BINOM.DIST(1, 7, 0.57, TRUE)  to calculate 
     = 0.02794.    
In this way, the value of  (2)  is equal to  1 - 0.02794 = 0.97206 (approximately).    ANSWER
Thus the problem is solved using Technology.
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On Excel function BINOM.DIST, see its description everywhere, for example
https://support.office.com/en-us/article/binom-dist-function-c5ae37b6-f39c-4be2-94c2-509a1480770c
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To see other probability problems, solved by similar method, look into the lessons
    - Solving problems on Binomial distribution 
    - How to calculate Binomial probabilities using Technology 
    - Solving problems on Binomial distribution with Technology 
in this site.