Math Problem Statement

11.A 6-sided die is rolled. What is the probability of getting a number more than 4? 12.The of Events A and B represents the number of instances in which both Events A and B occur at the same time. 14. Consider the given discrete probability distribution. P(X<=4).

X

P(x)

0

0.30

0.25

2

0.20

3

0.15

4

0.05

5

0.05

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Discrete Probability Distribution
Intersection of Events

Formulas

Probability of an event = (number of favorable outcomes) / (total possible outcomes)
Intersection of Events A and B, P(A ∩ B)
Summing probabilities for cumulative distribution, P(X ≤ k) = Σ P(X = x)

Theorems

Basic Probability Theorem
Intersection Rule for Events
Cumulative Probability Calculation

Suitable Grade Level

Grades 9-10