Concept explainers
To calculate: The probability all heads turn up when three coins are tossed provided that at least two coins shows heads.
Answer to Problem 8CFU
The probability all heads turn up when three coins are tossed provided that at least two coins shows heads is
Explanation of Solution
Given information:
Three coins are tossed.
Formula used:
Probability of an event Eis
Given an event Q , the conditional probability of event A is
Calculation:
Consider the provided information thatthree coins are tossed.
The probability all heads turn up when three coins are tossed provided that at least two coins shows heads.
Let A be an event that all heads turn up and B be an event that at least two coins shows head.
Therefore, outcomes of
Recall that probability of an event Eis
Probability that at least two coins shows head,
Probability that all heads and first coin shows head,
Recall that given an event Q , the conditional probability of event A is
The probability all heads turn up when three coins are tossed provided that at least two coins shows heads.
Thus, the probability all heads turn up when three coins are tossed provided that at least two coins shows headsis
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