Calculating Probability: Multiplying Independent Events

Charlie is going to roll a die and flip a coin. What is the probability that he will roll a 6 and the coin will land with heads facing up?1/61/1211/3

Correct answer:1/12Explanation:There is only one way to roll a 6 and for the coin to land on heads; thus, the probability is 1/12

The probability of rolling a 6 on a six-sided die is 1/6. The probability of flipping a coin and getting heads is 1/2.

Since these two events are independent, we can calculate the probability of both of them happening together by multiplying their individual probabilities.

So, the probability that Charlie will roll a 6 and the coin will land with heads facing up is:

1/6 (probability of rolling a 6) x 1/2 (probability of getting heads on a coin flip)

= 1/12

Therefore, the probability that Charlie will roll a 6 and the coin will land with heads facing up is 1/12 or approximately 0.083 or 8.3%.

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