Flip the coin below. Suppose that you win a prize if it comes up heads. What is p, the probability of success? What is 1 – p, the probability of failure?

"p," the probability of success, is the chance of winning a prize.  This is equal to 50% (1/2).

1 - p, the probability of failure, is the chance of not winning or losing a prize.  This is equal to 50$ (1 - 0.5).

Step-by-step explanation:

When an outcome is obtained from two events, the probability of the outcome happening is 50% (1/2).

On the other hand, the probability of the intended outcome not happening is the difference between 1 and the probability of obtaining the outcome from the two events.  This is statistically expressed as 1 - p.

you would use (d.) the law of cosines or a^2 = b^2 + c^2 – 2bc(cos a)

, b^2 = a^2 + c^2 – 2ac(cos b), or c^2 = a^2 + b^2 - 2ab(cos c). you wouldn't use b. the law of sines as it is mostly effective when 1side and 2angles are given. a and c aren't the answer for they are the improper versions of the law of cosines. hope this is .