Math Problem Statement

A pair of dice is thrown simultaneously. Find the probability of getting a sum greater than a certain value. A pair of dice is thrown. Find the probability of getting a sum of 10 or more, if 5 appears on the first die.

Solution

The image contains two probability problems related to dice and drawing balls. Here's a breakdown of each problem:

  1. First problem:
    A pair of dice is thrown simultaneously. You are asked to find the probability of getting a sum greater than a certain value, which is not visible in the image.

  2. Second problem:
    A pair of dice is thrown again, and the task is to find the probability of getting a sum of 10 or more, if a 5 appears on the first die.

Could you please confirm the exact value for the sum in the first problem or if there's any further information you need?

Would you like help with these problems? Feel free to ask!


Here are some related questions for practice:

  1. What is the probability of getting a sum of 7 when two dice are rolled?
  2. How do you calculate the probability of rolling an even number with two dice?
  3. What is the probability of rolling a sum of less than 4?
  4. How many different outcomes are possible when two dice are thrown?
  5. What is the probability of getting a 12 when two dice are rolled?

Tip: In dice probability problems, the total number of possible outcomes is 36 (6 sides on the first die × 6 sides on the second die).

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Math Problem Analysis

Mathematical Concepts

Probability
Combinatorics
Dice Probability

Formulas

P(E) = (Number of favorable outcomes) / (Total possible outcomes)

Theorems

Fundamental Theorem of Probability

Suitable Grade Level

Grades 7-9