This is a gacha card game. The banner has regular role cards and magic role cards. Each time you row from the banner has a 2% chance of getting a magic role card. If you row 50times but still not get a magic role card. the chance of getting a magic role card for next row increases from 2% to 4%. If you do not get the magic role card on the next row, the chance of getting a magic role card on the next row increases from 4% to 6%. And so on. The probability of getting a magic role card will increase by 2% each time if you still don't get a magic role card until the probability reaches 100%. Then you will definitely get one. (a) Find the probability of getting a magic role card Within forty times rowing. (b) Find the expected value of getting a magic role card. (You may use the law of large numbers or central-limit theorem to explain.)
This is a gacha card game. The banner has regular role cards and magic role cards. Each time you row from the banner has a 2% chance of getting a magic role card. If you row 50times but still not get a magic role card. the chance of getting a magic role card for next row increases from 2% to 4%. If you do not get the magic role card on the next row, the chance of getting a magic role card on the next row increases from 4% to 6%. And so on. The probability of getting a magic role card will increase by 2% each time if you still don't get a magic role card until the probability reaches 100%. Then you will definitely get one. (a) Find the probability of getting a magic role card Within forty times rowing. (b) Find the expected value of getting a magic role card. (You may use the law of large numbers or central-limit theorem to explain.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:This is a gacha card game. The banner has regular role cards and magic role cards. Each time
you row from the banner has a 2% chance of getting a magic role card. If you row 50times but
still not get a magic role card. the chance of getting a magic role card for next row increases from
2% to 4%. If you do not get the magic role card on the next row, the chance of getting a magic
role card on the next row increases from 4% to 6%. And so on. The probability of getting a
magic role card will increase by 2% each time if you still don't get a magic role card until the
probability reaches 100%. Then you will definitely get one.
(a) Find the probability of getting a magic role card Within forty times rowing.
(b) Find the expected value of getting a magic role card. (You may use the law of large numbers
or central-limit theorem to explain.)
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