The probability of rolling an even number on a die and flipping tails on a coin is 1/4, obtained by multiplying the probability of each individual event (1/2 for rolling an even number and 1/2 for flipping tails).
The probability of rolling an even number on a six-sided die and then flipping tails on a fair coin can be determined by considering the individual probabilities of each event and multiplying them together.
On a standard six-sided die, there are three even numbers (2, 4, 6) out of a total of six possible outcomes. Therefore, the probability of rolling an even number is 3/6 or 1/2.
For a fair coin, there are two equally likely outcomes: heads or tails. The probability of flipping tails is 1/2.
To find the probability of both events occurring together, multiply the probabilities of each event: 1/2 (rolling an even number) multiplied by 1/2 (flipping tails) equals 1/4.
Therefore, the probability of rolling an even number on a die and then flipping tails on a coin is 1/4.