If 8 coins are thrown simultaneously, then probability of occurence of exactly 2 tails is equal to the probability of occurence of exactly 6 tails.

Using the binomial probability formula for exactly r successes in n trials, the probability of exactly 2 tails is 8C2 times (1/2)^2 times (1/2)^6. This equals 28 times (1/2)^8, which is 28/256. Similarly, the probability of exactly 6 tails is 8C6 times (1/2)^6 times (1/2)^2, which is also 28/256. The assertion is true because both probabilities are equal, and the reason correctly explains this equality since the binomial coefficient is symmetric, making 8C2 equal to 8C6.

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