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Brandon W.
Algebra
1 month, 1 week ago
Tim S. The answer has to be in percentage.
2 Answers By Expert Tutors
Kemal G. answered • 04/30/17
Patient and Knowledgeable Math and Science Tutor with PhD
You can solve this using the binomial probability formula.
The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.
Then, we can set the equation as follows:
P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k)
when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157
when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154
when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008
Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)
Kenneth S. answered • 04/30/17
Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018
P(2 sixes) = (1/6)2(5/6)2
Add these up. I got 31/64
Check my work, and compute the ratio to obtain the decimal value, then convert to % by the usual process.