Math Problem Statement

A balanced dice is tossed twice. Find the probability that it will show an even number in both the tosses.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Independent Events
Basic Probability of Dice

Formulas

P(even number) = number of favorable outcomes / total outcomes = 3/6 = 1/2
P(even on both tosses) = P(even on first toss) × P(even on second toss)

Theorems

The Multiplication Rule of Independent Events

Suitable Grade Level

Grades 6-8