Problem

Determine whether the statement below makes sense or does not make sense, and explain your reasoning. When I toss a coin, the probability of getting heads or tails is 1 but the probability of getting heads and tails is 0 Choose the correct answer below. A. This statement does not make sense because when you toss a coin you can either get a head or a tail at a time. You cannot get head and tail both at the same time. B. This statement does not make sense because when you toss a coin you can either get head and tail at the same time. C. This statement makes sense because when you toss a coin you can either get a head or a tail at a time. You cannot get head and tail both at the same time. D. This statement makes sense because when you toss a coin you can either get head and tail at the same time.

Solution

Step 1 :Determine whether the statement below makes sense or does not make sense, and explain your reasoning: 'When I toss a coin, the probability of getting heads or tails is 1 but the probability of getting heads and tails is 0'.

Step 2 :Choose the correct answer below.

Step 3 :A. This statement does not make sense because when you toss a coin you can either get a head or a tail at a time. You cannot get head and tail both at the same time.

Step 4 :B. This statement does not make sense because when you toss a coin you can either get head and tail at the same time.

Step 5 :C. This statement makes sense because when you toss a coin you can either get a head or a tail at a time. You cannot get head and tail both at the same time.

Step 6 :D. This statement makes sense because when you toss a coin you can either get head and tail at the same time.

Step 7 :The statement is discussing the probabilities of outcomes when tossing a coin. In a single coin toss, you can either get a head or a tail, but not both at the same time. Therefore, the probability of getting either a head or a tail is 1 (since these are the only two possible outcomes), and the probability of getting both a head and a tail in a single toss is 0 (since this is impossible).

Step 8 :Final Answer: \boxed{\text{C. This statement makes sense because when you toss a coin you can either get a head or a tail at a time. You cannot get head and tail both at the same time.}}

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Source: https://solvelyapp.com/problems/NklMeO5TbC/

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