Probability
Consecutive Outcomes
Grade 12
Question:
<p>In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to</p>
<p>(a) \(\frac{175}{65}\)</p>
<p>(b) \(\frac{225}{65}\)</p>
<p>(c) \(\frac{200}{65}\)</p>
<p>(d) \(\frac{150}{65}\)</p>
Step-by-Step Solution
Key Concept: For the experiment to end on exactly the 5th throw, we need two consecutive 4s at positions 4-5, with no two consecutive 4s before.
<p>Not provided in source text</p>
Correct Answer: b