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• Throw a dart to a unit disk and measure its distance to center: S =(0,1) Example 0.4 (Roll a single die). The sample space is S = {1,2,3,4,5,6}.The following are events: • A = {1} = {The smallest number} • B = {6} = {The largest number} • C = {2,4,6} = {An even number} • D = {1,3,5} = {An odd number} If an outcome of 1 was observed ...
SECTION 8.1: SAMPLE SPACES AND BASIC PROBABILITY EVENT: An outcome (called a simple event) or a combination of outcomes (called a compound event) SAMPLE SPACE: Set of all possible simple events EXAMPLE 1: Rolling 1 die: Sample Space: S = {_____} EXAMPLE 2: A coin is tossed twice.
Probability is a measure of how likely something is to happen. You can represent probabilities using fractions, decimals or percentages. The probability of something happening will lie between 00 and 11 or 0% 0% and 100%.100%. The lower the probability the less chance of that event happening.
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Example 1: Classify the events in each experiment as being either mutually exclusive or non-mutually exclusive. (A) The experiment is rolling a die. The first event is rolling an even number and the second event is rolling a prime number. (B) The experiment is playing a game of hockey. The first event is that your team
review chance experiments, events, equally likely events, and sample spaces. The vocabulary addressed in this lesson should be familiar to some students based on their previous work.
Step 1: The question gives you the probability of the coin landing on heads. Use this to work out the probability of the coin landing on tails. The total probability of all possible events must add up to 1. This means the sum of the probability of getting a head and the probability of getting a tail is 1. 𝑃𝑃(𝑇𝑇) + 𝑃𝑃(𝐻𝐻) = 1
