Question

Three jars are used in the Pennsylvania Lottery Lucky Number drawing. Each jar contains lOping-pong balls, and each ball is marked with a different digit 0, 1,2, ...,9. The balls are mixed, and 1 is randomly selected from each jar. a. What is the probability that the ball selected from the first jar is a 7? b. What is the probability that the ball selected from the second jar is a 7, given the ball from the flISt was a 7? c. What's the probability the ball selected from the tbirdjar is a 7, given each of the balls in the flIst two jars was a 7? d. On January 27, 1993, the lucky number for the Pennsylvania lottery was 777. What is the probability that this three-digit number will be drawn on any given day? e. On the same day, the number in the New York Lottery was also 777. What's the probability that the number 777 will be selected in both states on the same day?

Answer 1

a) probability that the ball selected from the first jar is a 7=1/10 =0.1

b)

probability that the ball selected from the second jar is a 7, given the ball from the flISt was a 7 =1/10 =0.1

c)

e probability the ball selected from the tbirdjar is a 7, given each of the balls in the flIst two jars was a 7 =1/10 =0.1

d)

probability that this three-digit number will be drawn on any given day =1/1000 =0.001

e)

probability that the number 777 will be selected in both states on the same day =0.001*0.001 =0.000001