SUCCESS

Success

Definition Of Success

Success is the desired or the favorable outcome of an event.

Video Examples: How to succeed in math

Solved Example on Success

Ques: A coin is tossed 5 times. If 'getting a head' is considered as a success, find the probability of at least 3 successes.

Choices:

A.1/6
B. 1/4
C.1/8
D. 1/2
Correct Answer: D

Solution:

Step 1: In a single trial, probability p of success is given by p = P (getting a head) =1/2 .
Step 2: Probability of failure, q = 1 - p = 1 -1/2 = 1/2.
Step 3:[Binomial distribution.]
Step 4: P(r) = p(3) + p(4) + p(5)
Step 5:
Step 6: example of Success
Step 7: example Success

Quick Summary

Success is a favorable outcome.
Probability can determine the likelihood of successes.

\[ P(x) = \binom{n}{x} * p^x * (1-p)^{(n-x)} \]

🍎 Teacher Insights

Emphasize the meaning of success in context. Use real-world examples to illustrate.

🎓 Prerequisites

Basic Probability
Combinations

Check Your Knowledge

Q1: A die is rolled 3 times. Getting a 4 is considered a success. What is the probability of exactly 2 successes?

A. 5/216 B. 1/72 C. 5/72 D. 1/8

Frequently Asked Questions

Q: What does 'at least' mean in probability?
A: It means the probability of that value or higher values. For example, 'at least 3' means 3, 4, 5, etc.