A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head?Choices:- 0.025 0.25 0.0025 0.00025
Question
A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head?Choices:- 0.025 0.25 0.0025 0.00025
Solution
The probability of two independent events occurring is the product of their individual probabilities.
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The probability of rolling an odd number on a die: There are 3 odd numbers (1, 3, 5) out of a total of 6 possible outcomes. So, the probability is 3/6 = 0.5.
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The probability of getting a head on a coin toss: There are 2 possible outcomes (head or tail), and only 1 of them is a head. So, the probability is 1/2 = 0.5.
Therefore, the probability of both events occurring is 0.5 * 0.5 = 0.25.
So, the correct answer is 0.25.
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