Ming rolls a number cube, tosses a coin, and chooses a card from two cards marked A and B. If an even number and heads appears, Ming wins, no matter which card is chosen. Otherwise Lashonda wins. Find P(Ming wins).
The probability of rolling an even number on a number cube is 3/6 or 1/2. The probability of getting heads on a coin toss is 1/2. Therefore, the probability of getting both an even number and heads is 1/2 × 1/2 = 1/4.
Since Ming wins if and only if an even number and heads appears, we know that the probability of Ming winning is the same as the probability of getting both an even number and heads, which is 1/4.
Therefore, P(Ming wins) = 1/4.