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Assuming that if you had 3 coins and they were all the same, then no, the outcomes would not be different than if you flipped the same coin 3 times.

Flipping a coin has a 1/2 chance of landing on 1 face, and 1/2 chance that it will land on the other:

-Flipping the same coin 3 times: 1/2 chance of the coin landing on one face

-Flipping 3 coins one time each: Still 1/2 chance of each of the 3 coins landing on one face.

These chance percentages are fairly vague. Of course there is an absolute minuscule percentage that the coin(s) could land on their side instead of either face or that one side could have a higher chance than the other, but the chances of that happening are so small there is no point complicating this answer and so extreme details like this are ignored.

Q: Are the outcomes different if you toss 3 coins instead of tossing a coin 3 times?

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There are 25 or 32 possible outcomes can you get by tossing 5 coins.

There are 1024 different outcomes, so too many to list.

There are 23 = 8 possible outcomes.

4

For each of the coins, in order, you have two possible outcomes so that there are 2*2*2*2 = 16 outcomes in all.

The sample space consists of the following four outcomes: TT, TH, HT, HH

If you toss eight coins, there are 256 (28) different outcomes.

Each coin can come out either heads (H) or tales (T). Since you're tossing four coins at once, I'm assuming there is no sense of order to be accounted for. In that case, the possible outcomes are the following: HHHH HHHT HHTT HTTT TTTT

Only if you're counting order. If you call a head then a tail different from a tail and then a head then there are 8 outcomes from the coins; otherwise there are only 4. And clearly a number cube can have anywhere from 1 to 6 outcomes, depending on whether the same number appears multiple times.

The probability of tossing two coins that are different is 1 in 2, or 0.5.The probability of tossing something on the first coin is 1. The probability of not matching that on the second coin is 0.5. Multiply 1 and 0.5 together, and you get 0.5.

three heads two head, one tails one heads, two tails three tails

Tossing two coins doesn't have a probability, but the events or outcomes of tossing two coins is easy to calculate. Calling the outcomes head (H)or tails (T), the set of outcomes is: HH, HT, TH and TT as follows: 2 heads = (1/2) * (1/2) = 1/4 1 head and 1 tail, can be heads on first coin tails on second, or just the opposite, there's two possible events: (1/2)*(1/2) + (1/2)*(1/2) = 1/2 2 tails = same probability as two heads = 1/4