Math Problem Statement

Sebuah koin dilempar 3 kali. Tentukan peluang munculnya tepat dua kali sisi gambar!

Solution

The image shows a probability problem in Indonesian. Here's the problem statement translated and broken down:


Problem: 2. Sebuah koin dilempar 3 kali. Tentukan peluang munculnya: (3) tepat dua kali sisi gambar!

Translation: A coin is tossed 3 times. Determine the probability of getting heads (gambar) exactly two times.


Solution:

The problem involves finding the probability of getting heads exactly two times when a coin is tossed three times.

  1. Possible Outcomes: When a coin is tossed three times, there are 23=82^3 = 8 possible outcomes:

    • HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
  2. **Favorable Outcomes for Exactly Two Heads

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Math Problem Analysis

Mathematical Concepts

Probability
Combinatorics

Formulas

Total number of outcomes = 2^n
Binomial probability formula: P(k successes in n trials) = C(n, k) * p^k * (1-p)^(n-k)

Theorems

Binomial Theorem

Suitable Grade Level

Grades 8-10