Probability
Binomial
MMTS_Full_Test_10
Grade 12
Question:
A coin is tossed 7 times. Each time a head occurs, a player wins Rs 2 and loses Rs 1 for each tail. If the player starts with Rs 0, then probability that he does NOT go negative during the game is
$\dfrac{29}{128}$
$\dfrac{37}{128}$
$\dfrac{39}{128}$
$\dfrac{41}{128}$
Step-by-Step Solution
Key Concept: Track cumulative profit at each step; count paths that never go negative
After detailed path counting (Catalan-like): $P=37/128$.
Correct Answer: 2