Probability Examples | Practical Probability Problems and Solutions

Rumman Ansari   Software Engineer   2023-02-23   128 Share
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Probability - Example

Scenario

Consider a scenario where three coins are tossed simultaneously. What is the probability of at least one being heads?

Probability - Scenario Example
Figure: Probability - Scenario Example


Solution

Sample Space

S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

 n(S)=8

Event

E= Getting at least one heads

E={HHH, HHT, HTH, THH, HTT, THT,TTH}

 n(E)=7

Probability

$$ P(E) = \frac{n(E)}{n(S)}$$ $$P(\text{getting one heads}) = \frac{7}{8} $$