1 in 4
The probability of getting all tails when you flip 4 fair coins 1 time is:P(4 tails) = (1/2)4 = 1/16 = 0.0625 = 6.25%
Well, you have 24 possibilities, and you can get heads 6 ways, so it is 1/4.
You are in Australia - maybe - and have 4 coins of 50 cents each.
The probability is 2/4 or 4/8 or 1/2. The reason is that if you have 4 identical coins and you flip all of them at once you have half a chance because you could either get all heads, all tails, or a combination.
If they are fair coins, the probability is 0.25
1 in 4
1/4
When flipping a coin, there are 2 possible outcomes. When flipping 3 coins there are 8 possible outcomes (2^3=8). As for the situation described, there is only one way for it to not be true, if all the coins land on the same side. So either all heads or all tails. This leaves 8-2=6 possible outcomes resulting in the above situation. Therefore the probability of the given situation is 6/8 or 3/4=75%
75% is not correct. The odds of flipping 4 independent coins is the same as flipping one coin 4 times. The number of outcomes of 4 flips is 2^4 or 16. The number of ways to exactly get 3 Heads is 4 (THHH, HTHH, HHTH, HHHT) so your chance of flipping 3 heas is 4/16 or 25%. If you include the occurance that produced 4 of 4 Heads, then you get 5/16 or 31.25%.
The probability of getting all tails when you flip 4 fair coins 1 time is:P(4 tails) = (1/2)4 = 1/16 = 0.0625 = 6.25%
Well, you have 24 possibilities, and you can get heads 6 ways, so it is 1/4.
HH, HT, TH, or TT. Each has a probability of 1/4. You might consider HT and TH the same, in which case you'd say the probably of HH and TT are 1/4 each and the probability of TH is 1/2.
You are in Australia - maybe - and have 4 coins of 50 cents each.
There are 2*4*6 = 48 possible outcomes in total.
Flipping a coin: two possible outcomes, H or T. Rolling a die: six possible outcomes, 1, 2, 3, 4, 5, or 6. Flipping a coin and rolling a die: 12 possible outcomes. So the sample space has 12 outcomes such as, {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6 }
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