Ten tiles numbered 1 through 10 are placed in a bag. You randomly choose one tile. Without replacing the first tile, you randomly choose a second tile. Find the probability of choosing the 4 and then an even number. Write your answer as a fraction in simplest form.
The probability is

Answer

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Answer

Multiply the probabilities: \(\frac{1}{10} \times \frac{4}{9} = \boxed{\frac{2}{45}}\)

Steps

Step 1 ：Find the probability of choosing the 4: \(\frac{1}{10}\)

Step 2 ：Given that we chose the 4, find the probability of choosing an even number: \(\frac{4}{9}\)

Step 3 ：Multiply the probabilities: \(\frac{1}{10} \times \frac{4}{9} = \boxed{\frac{2}{45}}\)