Probability Fundamentals: Coin, Die, and Marble Scenarios
In this tutorial, we delve into the basics of probability through common scenarios involving coins, dice, and marbles. Explore the likelihood of outcomes such as landing heads on a coin toss, rolling a specific number on a die, and picking colored marbles from a bag. Understand how to calculate probabilities using simple formulas and grasp the fundamental concepts behind probability theory.
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Presentation Transcript
How likely is something to happen.
When a coin is tossed, there are two possible outcomes: heads (H) or tails (T) We say the probability of a coin landing H is We say the probability of a coin landing T is
When a single die is thrown there are six possible outcomes : 1, 2 ,3 ,4 ,5 & 6 The probability of any of them is 1/6.
Probability of an event happening = Number of ways it can happen Total number of outcomes
Chances of rolling a 4 with a die Number of ways it can happen : 1 (there is only one face with a 4 on it) Total number of outcomes: 6 (there are 6 faces altogether) So the probability is 1/6
Chances of rolling a 2 or a 5 with a die. Rolling a 2 is 1/6 Rolling a 5 is 1/6 So you have 2/6 chances either to roll a 2 or a 5 1/6 + 1/6 = 2/6 or 1/3 So the probability is 1/3
There are colored marbles in a bag : 4 are blue, 8 are green, 5 are red and 3 are yellow. What is the probability that a blue marble gets picked? Number of ways it can happen: 4 (there are 4 blues) Total number of outcomes: 20 (there are 20 marbles in total) So the probability is 4/20 or 1/5 or 0.2
There are colored marbles in a bag : 4 are blue, 8 are green, 5 are red and 3 are yellow. What is the probability that a red or yellow marble gets picked? Red getting picked : 5 Yellow getting picked: 3 Probability is 8/20 or 2/5 or 0.4
3 out of 12 chances 1 out of 6 chance to pick an orange marble to roll a one
Remember that Probability is HOW LIKELY SOMETHING IS GOING TO HAPPEN.
