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No, when you toss a coin there is a 50 percent chance it will land heads up.
The actual number of times 4 comes up is impossible to find, but the expected value of 4 coming up if you toss a 6-sided die 30 times is 5 times.
Because only the second toss matters and there's 2 sides it can land on, the chance your second toss will be tails; will still be 50%. If you want both coins to turn up as tails it would be 0,50 x 0,50 = 0,25 x 100% = 25% chance for both to be tails.
Knowing the results in advance, there is a 7/10 chance that the first toss is heads. In this case "seven out of ten" is quite literal. The first toss is one of the 10, and 7 of them came up heads, so 7/10 is the chance that this particular one is one of the heads.
If you toss them enough times, the probability is 1. For just one toss the probability is 1/4.