Question

What is the probability of obtaining six tails in a row when flipping a coin?

Answer 1

tossing the coin it will either be heads or tails, so the chances of getting tails is 1/2, sample space is just 2 possible outcomes.

now, what is the probability of getting Tails AND Tails AND Tails AND Tails AND Tails AND Tails?

well, keep in mind that AND means "times" or the product, so, since the probability of getting tails once is 1/2, the probability of getting tails 6 times in a row is


`\bf \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\implies \cfrac{1}{64}\implies 0.015625\implies 1.5625\%`