To solve this problem, we need to determine the probability of getting a head on a coin toss and a perfect square on a die throw individually, and then multiply the two probabilities together.
1. Probability of getting a head on a coin toss:
Since the coin has two equally likely outcomes (head or tail), the probability of getting a head is 1/2.
2. Probability of getting a perfect square on a die throw:
A standard die has 6 faces, numbered from 1 to 6. The perfect squares on a die are 4 and 6. The probability of rolling a perfect square on a die throw is 2/6, which simplifies to 1/3.
Now, we multiply the probabilities together:
Probability of getting a head and a perfect square = Probability of getting a head × Probability of getting a perfect square = 1/2 × 1/3 = 1/6.
Therefore, the probability of getting a head and a perfect square is 1/6.
A coin is tossed and a die is thrown what is the probability of getting a head and a perfect square
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1 answer