This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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When a fair coin is tossed twice, the total possible outcomes are: HH (Head, Head) HT (Head, Tail) TH (Tail, Head) TT (Tail, Tail) There are 4 total possible outcomes. a) Find the probability that 2 heads appear. Step 1: Identify the favorable outcome. The outcome where 2 heads appear is HH. Step 2: Calculate the probability. There is 1 favorable outcome out of 4 total outcomes. P(2 heads) = Number of favorable outcomesTotal number of possible outcomes = (1)/(4) The probability that 2 heads appear is (1)/(4). b) Find the probability that 2 tails appear. Step 1: Identify the favorable outcome. The outcome where 2 tails appear is TT. Step 2: Calculate the probability. There is 1 favorable outcome out of 4 total outcomes. P(2 tails) = Number of favorable outcomesTotal number of possible outcomes = (1)/(4) The probability that 2 tails appear is (1)/(4). c) Find the probability that at least one head appears. Step 1: Identify the favorable outcomes. "At least one head" means one head or two heads. The outcomes are HH, HT, TH. Step 2: Calculate the probability. There are 3 favorable outcomes out of 4 total outcomes. P(at least one head) = Number of favorable outcomesTotal number of possible outcomes = (3)/(4) The probability that at least one head appears is (3)/(4). Send me the next one 📸