Tran flips a coin 4 times. Which is true? Select two answers.

A.
The probability of the coin landing on heads is greater than landing on tails.

B.
There are four possible outcomes.

C.
All outcomes are not equally likely.

D.
There are 16 possible outcomes.

E.
All outcomes are equally likely.

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To answer this question, let's consider each statement:

A. The probability of the coin landing on heads is greater than landing on tails.

To determine the probability of the coin landing on heads or tails, we need to know the total number of outcomes and the number of favorable outcomes. Since we don't have this information, we cannot determine whether the probability of landing on heads is greater than tails. Therefore, we cannot say whether statement A is true or false based on the given information.

B. There are four possible outcomes.

To calculate the possible outcomes of flipping a coin 4 times, we need to consider that each coin flip has 2 possibilities (heads or tails). So, for 4 coin flips, there are 2 x 2 x 2 x 2 = 16 possible outcomes. Therefore, statement B is false; there are 16 possible outcomes, not 4.

C. All outcomes are not equally likely.

Since the coin is fair, both sides (heads and tails) are equally likely on each flip. However, this statement is not completely clear. If it means that all 16 outcomes are not equally likely, then it is true. Some outcomes, such as getting all heads or all tails, have a lower probability than outcomes with a mix of heads and tails.

D. There are 16 possible outcomes.

As mentioned in statement B, there are indeed 16 possible outcomes when flipping a coin 4 times. Therefore, statement D is true; there are 16 possible outcomes.

E. All outcomes are equally likely.

As discussed in statement C, all outcomes are not equally likely. Therefore, statement E is false; all outcomes are not equally likely.

In summary, the two true statements are:

D. There are 16 possible outcomes.
C. All outcomes are not equally likely.

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