A coin is tossed and a die is rolled. Find the probability of getting a tail and a number greater than 4 .
(Type an integer or a simplified fraction.)
Answer
Final Answer: The probability of getting a tail and a number greater than 4 is \(\boxed{\frac{1}{6}}\).
Step 1 ：A coin is tossed and a die is rolled. We are to find the probability of getting a tail and a number greater than 4.
Step 2 ：The probability of getting a tail when a coin is tossed is \(\frac{1}{2}\) because a coin has two faces.
Step 3 ：The probability of getting a number greater than 4 when a die is rolled is \(\frac{2}{6}\) because a die has six faces and only two of them (5 and 6) are greater than 4.
Step 4 ：The probability of both events happening is the product of their individual probabilities because these are independent events.
Step 5 ：Let's denote the probability of getting a tail as \(p_{tail} = 0.5\) and the probability of getting a number greater than 4 as \(p_{greater than 4} = 0.3333333333333333\).
Step 6 ：Then, the probability of both events happening is \(p_{both} = p_{tail} \times p_{greater than 4} = 0.16666666666666666\).
Step 7 ：Final Answer: The probability of getting a tail and a number greater than 4 is \(\boxed{\frac{1}{6}}\).
