Question: YOU WILL USE THIS MATERIAL TO ANSWER QUESTIONS 10 - 12. VENN or TREE diagram to assist. John is playing a new video game in

YOU WILL USE THIS MATERIAL TO ANSWER QUESTIONS 10 - 12. VENN or TREE diagram to assist.

John is playing a new video game in which the object is to find hidden treasures. To do so, he must travel through several levels, clashing with guards and watchdogs. In one part of the journey, John must pass through two gates (Gate 1, then Gate 2) to get to the next level.

* The chance that Gate 1 is open is 45%

* The chance that Gate 2 is open is 27%

* The game designer has programmed the gates so that the probability of both being open at the same time is 0.09

Determine the probability that John gets to the next level.

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