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Question 2 of 10You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 3 or getting heads?A.B.C.D.

Question

Question 2 of 10

You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 3 or getting heads?

A.
B.
C.
D.

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Solution

Step 1: Identify the total number of outcomes for each event.

For a 6-sided die, there are 6 possible outcomes (1, 2, 3, 4, 5, 6). For a coin toss, there are 2 possible outcomes (Heads, Tails).

Step 2: Identify the favorable outcomes for each event.

For the die, the favorable outcome is rolling a 3, which is 1 outcome. For the coin, the favorable outcome is getting heads, which is 1 outcome.

Step 3: Calculate the probability for each event.

The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes.

For the die, the probability of rolling a 3 is 1/6. For the coin, the probability of getting heads is 1/2.

Step 4: Since these are two independent events (rolling a die and tossing a coin), we add the probabilities of each event to get the total probability.

So, the probability of rolling a 3 or getting heads is 1/6 + 1/2 = 2/3.

This problem has been solved

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