i need step by step answers plz 4.102 A player plays a roulette game in a casino

Question

i need step by step answers plz

4.102 A player plays a roulette game in a casino by betting ona single number each time. Because the wheel has 38 numbers, the probability that the player will win in a single play is 1/38. Note that each play of the game is independent of all previous plays. c. A gambler claims that because he has 1 chance in 38 of win- ning each time he plays, he is certain to win at least once if he plays 38 times. Does this sound reasonable to you? Find the probability that he will win at least once in 38 plays.

Explanation / Answer

4.102)

No,this is not reasonable
probability to win in a daya = 1/38
probability to win at least one day = 1 - probability that he does not win any day
= 1 - (1-1/38)^38
= 0.6370148

4.56)
required probability = 28C2/42C2
= 28 *27 / (42 *41)
=0.4390243

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