Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?
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Correct Answer: Option C
Explanation:
P( tail on a coin) = \(\frac{1}{2}\)
Even numbers on a care 2, 4 and 6
P( even number on a die) = \(\frac{3}{6}\) = \(\frac{1}{2}\)
P( tail on a coin and even number on a die) = \(\frac{1}{2}\) x \(\frac{1}{2}\) = \(\frac{1}{4}\)
P( tail on a coin) = \(\frac{1}{2}\)
Even numbers on a care 2, 4 and 6
P( even number on a die) = \(\frac{3}{6}\) = \(\frac{1}{2}\)
P( tail on a coin and even number on a die) = \(\frac{1}{2}\) x \(\frac{1}{2}\) = \(\frac{1}{4}\)