Question

1. a biased coin is flipped, with heads and tails as possible outcomes. calculate ( p(\text{heads}) ) if ( p(\text{tails}) ) is 0.59. ( p(\text{heads}) = ) enter your next step here

Explanation:

Step1: Recall the total probability rule

For a coin flip, the sum of the probabilities of heads and tails must equal 1, so \( P(\text{heads}) + P(\text{tails}) = 1 \).

Step2: Solve for \( P(\text{heads}) \)

Substitute \( P(\text{tails}) = 0.59 \) into the equation: \( P(\text{heads}) = 1 - P(\text{tails}) \).
\( P(\text{heads}) = 1 - 0.59 \)
\( P(\text{heads}) = 0.41 \)

Answer:

\( 0.41 \)