Lucas wants to start a movie club at his high school. The principal states that Lucas must find at least five more students to build the club with him. Lucas decides to ask nine people if they will join the club. There is a 46\dfrac{4}{6} chance that each person will say yes. \\

A simulation is conducted using a dice in order to predict the probability that at least five students will join the club. The numbers 1,2,3,1,2,3, and 4,4, are used to represent a "yes" response. The numbers 55 and 66 are used to represent a "no" response. The simulation data is shown below.

Outcomes of trials: 135362253 (success), 156463565 (fail), 143256565 (fail), 132553214 (success), 156543456 (fail), 135463462 (success), 162545321 (success), 124265435 (success), 456343215 (success), 563256536 (fail)

Using the data in the table above, find the probability that Lucas will find at least five people to join his club.

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