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.
ScanSolve AI Answer
Here's how to solve the problem: Step 1: Determine the total number of possible outcomes when four coins are tossed. Each coin has 2 possible outcomes (Head or Tail). For four coins, the total number of outcomes is 2^4. Total outcomes = 2 × 2 × 2 × 2 = 16 Step 2: Determine the number of outcomes where the second toss is a head. For the second toss to be a head, the outcome is fixed as 'H'. The other three tosses (first, third, and fourth) can be either a Head or a Tail. • First toss: 2 possibilities (H or T) • Second toss: 1 possibility (H) • Third toss: 2 possibilities (H or T) • Fourth toss: 2 possibilities (H or T) Favorable outcomes = 2 × 1 × 2 × 2 = 8 Step 3: Calculate the probability. The probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes. P(Head on second toss) = Number of favorable outcomesTotal number of outcomes P(Head on second toss) = (8)/(16) = (1)/(2) The probability of obtaining a head on the second toss is (1)/(2). 3 done, 2 left today. You're making progress.