5. A gambler has decided to play a slot machine until they have won a prize, or

Question

5. A gambler has decided to play a slot machine until they have won a prize, or played three times, whichever comes first. The probability of winning a prize is 30% on each play. f. List the outcomes for this situation and find their probabilities. g. What is the probability that the gambler will play the slot machine 3 times? What is the probability that the gambler will win a prize, given that they have played the game three times? h. n a class of 100 students, 81 of them attended class and then completed their homework; 9 of them attended class but then did not complete their homework; 3 of them did not attend class but then compl wk 7 of them did net attend class and then did not complete their homework.

Explanation / Answer

let a win is represented by W and a lose represenrted by L

f) therefore outcome for this situation are { W ; LW ; LLW ; LLL}

g) probability of playing slot machine 3 times =P(LLW)+P(LLL) =(1-0.3)*(1-0.3)*0.3+(1-0.3)*(1-0.3)*(1-0.3)=0.49

h)probability that gambler win the prize given played 3 times =P(LLW|played 3 times)

=(1-0.3)*(1-0.3)*0.3/0.49=0.30

please revert for any clariifcation requiired

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