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John has 15 dimes and 20 nickels in his shirt pocket, and Ben has a box containing 10 red jelly beans and 15 green jelly

John has 15 dimes and 20 nickels in his shirt pocket, and Ben has a box containing 10 red jelly beans and 15 green jelly beans. John randomly selects a coin from his pocket, and Ben randomly selects a jelly bean from his box. LetNbe the event that John chooses anickeland letGbe the event that Ben selects agreenjelly bean. Assume thatNandGareindependentevents. Find

(1 point)a) P(N) (1 point)b) P(G) (1 point)c) P(NG) (1 point)d) P(NG) (3 points)e) P(U) and are notations for the complementary events of and , respectively.

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