please help solve, confused

Question

Assume that a procedure yields a binomial distribution with 2 trials and a probability of success of 0.50. Use a binomial probability table to find the probability that the number of successes is exactly 0.

 

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The probability that the number of successes is exactly 0 is
 
(Round to three decimal places as needed.)

Answer 1

0 successes means 2 failures so 0.50 is raised to the 0th power below and (1-0.50) is raised to the 2nd power.

Write P(S=0) equals ₂C₀(0.50)⁰(1-0.50)² which translates to 2!/0!/(2-0)! times (1/2)⁰ times (1/2)² equal to 2÷1÷2×1×1/4 or 0.25 (or 0.250 to three places).