5 boys & 5 girls sit in a row randomly, then (A) Probability that 5 girls sit together = 56 10 Target: JEE (Main + Advanced) 2020/19-01-2020/Paper-2 (B) Probability that boys & girls sit alternatively = (C) Probability that all boys are together & all girls are together given that all girls are together 1 3 55 10

Determine the probability of getting a jack when selecting a card rabdomly from a deck of cards?  Probability =

At the close of the stock markets on a day in 2017, there were 6100 companies listed with certain stock exchanges. On this day, the probabilities of advancing, declining, and unchanged company stocks appears in the table for the two exchanges. Find the probability that a stock was listed on Exchange 2 given that it advanced. Percentage of Probability of Probability of Companies Listed Probability the Stock Stock Stocks Remain Unchanged Exchange Exchange 1 Exchange 2 Advancing Declining 0.5052 0.7237 0.2466 0.0297 0.4948 0.6009 0.3455 0.0536 Let F be Exchange 2 and E be an advance. P(F) = .4948 and P (F') = .5052 The probability that a stock was listed on Exchange 2 given that it advanced is (Do not round until the final answer. Then round to four decimal places as needed.)

The table summarizes results from 976 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Intoxicated? Pedestrian Intoxicated? Yes No Yes 56 86 No 245 589 If one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated but the pedestrian was. Please enter a decimal to 4 places.

he table summarizes results from 977 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 49 71 No 222 635 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated but the driver was. Please enter a decimal to 4 places.

The table summarizes results from 975 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 47 75 No 252 601 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated but the driver was. Please enter a decimal to 4 places.Probability =

In a 24-hour call center, complaints arrive at a mean rate of 1 complaint every 3 hours. (a) Find the probability that there are at most 3 complaints in the past 10 hours. (b) A day is “doomed” if there are at least 6 complaints. Each day, an inspector counts the number of complaints at the end of the day and determines whether the day was doomed. Find the probability that the inspector has worked for 7 days when he records the 3rd doomed day. (c)  Find the probability that there are at least 2 complaints in the past 12 hours given that there are at most 5 complaints in the past 12 hours

Suppose that 55% of all voters prefer Candidate A.If 4 people are chosen at random for a poll, what is the probability that at least 2 of them favor Candidate A?Probability =    (Please show your answer to 4 decimal places)