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 k 7 of them did net attend class and then did not complete their homework. or

Explanation / Answer

Ans:

1)X=number of trials.

X=1,

P(1)=0.3

X=2,

P(2)=0.7*0.3=0.21

X=3,

P(3)=0.7*0.7*0.3=0.147

or

P(3)=0.7*0.7*0.7=0.343

2)P(3)=0.147+0.343=0.49

3)P(win the prize/played 3 times)=0.147/0.49=0.3

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