✓ Какая вероятность выиграть в лотерею? | Математика вокруг нас | Борис Трушин

About this video

• Video Title: ✓ Какая вероятность выиграть в лотерею? | Математика вокруг нас | Борис Трушин
• Channel: Борис Трушин
• Speakers: Борис Трушин
• Duration: 00:09:23

Overview

This video, part of the "Mathematics Around Us" series, delves into the probability of winning a lottery. The speaker, Boris Trushin, explains the rules of a specific lottery, calculates the chances of winning, and compares the probabilities under different rule sets. The video aims to provide a mathematical perspective on lottery odds.

Key takeaways

• Lottery Mechanics: The lottery discussed involves selecting 15 numbers from a pool of 90. To win the jackpot, the first 15 numbers called by the host must match numbers on the ticket, which has two fields for numbers.
• Probability Calculation: The total number of possible outcomes for drawing 15 balls from 90 is calculated using combinations, resulting in approximately 46 quadrillion possibilities.
• Winning Probability: With the current rules, there are two favorable outcomes (matching the drawn numbers in either the top or bottom field), leading to a probability of 1 in 23 quadrillion for a single ticket to win.
• Historical Rules: Previously, the lottery rules were different, requiring the 15 drawn numbers to be present in either the top or bottom field, but not necessarily exclusively. This meant a single ticket had 30 numbers (15 in each field).
• Impact of Rule Change: The older rules allowed for 155 million possible winning combinations from the 30 numbers on a ticket, making the probability of winning approximately 1 in 300 million, which is significantly higher (about 80 million times greater) than the current odds.