you flip a coin. what is p(tails or heads)? write your answer as a fraction or whole number.

Explanation:

Step1: Identify sample - space and events

When flipping a coin, the sample - space S = {heads, tails}, n(S)=2. Let A be the event of getting tails and B be the event of getting heads. n(A) = 1, n(B)=1.

Step2: Use the formula for P(A or B)

The formula for P(A or B) is P(A or B)=P(A)+P(B)-P(A and B). For a coin - flip, A and B are mutually exclusive (a coin can't land on heads and tails at the same time), so P(A and B) = 0. P(A)=$\frac{n(A)}{n(S)}=\frac{1}{2}$, P(B)=$\frac{n(B)}{n(S)}=\frac{1}{2}$.

Step3: Calculate P(A or B)

P(A or B)=$\frac{1}{2}+\frac{1}{2}-0 = 1$.

Answer:

1