Question:medium
A biased coin with probability \(p\) (where \(0 < p < 1\)) of getting head is tossed until a head appears for the first time. If the probability that the number of tosses required is even is \(\frac{2}{5}\), then \(p =\):
A biased coin with probability \(p\) (where \(0 < p < 1\)) of getting head is tossed until a head appears for the first time. If the probability that the number of tosses required is even is \(\frac{2}{5}\), then \(p =\):
Show Hint
For problems involving geometric series, use the formula for the sum of an infinite series to calculate probabilities.
Updated On: Nov 28, 2025
- \(\frac{1}{4}\)
- \(\frac{1}{3}\)
- \(\frac{2}{3}\)
- \(\frac{3}{4}\)
Top Questions on Probability
- Three numbers are chosen at random without replacement from \( \{1, 2, \dots, 10\} \). The probability that the minimum of the chosen numbers is 3 or their maximum is 7, is:
- WBJEE - 2025
- Mathematics
- Probability
- The probability that a non-leap year selected at random will have 53 Sundays or 53 Saturdays is:
- WBJEE - 2025
- Mathematics
- Probability
- If \( E \) and \( F \) are two independent events with \( P(E) = 0.3 \) and \( P(E \cup F) = 0.5 \), then \( P(E \mid F) - P(F \mid E) \) equals:
- WBJEE - 2025
- Mathematics
- Probability
- If 1000! = 3n × m, where m is an integer not divisible by 3, then n =?
- WBJEE - 2024
- Mathematics
- Probability
- Want to practice more? Try solving extra ecology questions todayView All Questions