ProbabilityHardBloom L3
Question
A fair die is thrown until a score of less than 5 points is obtained. The probability of obtaining not less than 2 points on the last throw is
Options
A.$\frac{1}{4}$
B.$\frac{3}{4}$
C.$\frac{4}{5}$
D.$\frac{1}{5}$
Solution
Sol. [Key Concept: Die thrown until score $< 5$: geometric; condition on the last throw.]
$A \rightarrow$ last throw get $1,2,3$ or 4
$B \rightarrow$ last throw get 2, 3, or 4
$$P(\text{ }B/A) = \frac{3}{4}$$
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