Consider two events T and S. Let \(\bar{T}\) denote the complement of the event T. The probability associated with different events are given as follows :
P(\(\bar{T}\)) = 0.6, P(S|T) = 0.3, P(SI\(\bar{T}\)) = 0.6
Then, P(TIS) is ______
(rounded off to two decimal places)
P(\(\bar{T}\)) = 0.6, P(S|T) = 0.3, P(SI\(\bar{T}\)) = 0.6
Then, P(TIS) is ______
(rounded off to two decimal places)
Correct Answer: 0.25
Solution and Explanation
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
Questions Asked in GATE AR exam
A four-arm uncontrolled un-signaled urban intersection of both-way traffic is illustrated in the figure. Vehicles approaching the intersection from the directions A, B, C, and D can move to either left, right, or continue in straight direction. No U-turn is allowed. In the given situation, the maximum number of vehicular crossing conflict points for this intersection is _________ (answer in integer)
- GATE AR - 2025
- Traffic survey methods, Traffic flow Analysis
An individual chooses a transport mode for a particular trip based on three attributes i.e., cost of journey (X), In-vehicle travel time to reach destination (Y), and Out-of-vehicle time taken to access mode at respective stops (Z). The values for these attributes for three modes Rail, Bus and Para-transit are given in the table. If the general utility (U) equation is \( U = - 0.5 \times X - 0.3 \times Y - 0.4 \times Z \), using the Logit model, the estimated probability of choosing Bus is _________ (rounded off to two decimal places).
- GATE AR - 2025
- Transportation