99 POINTS BRAINLIEST!! No fake answersA standard six-sided dice is repeatedly rolled until it lands on a two. What is the probability that the first two is rolled after the first six rolls?A) 33%B) 41%C) 53%D) 67%Suppose you buy one ticket for $1 out of a lottery of 1,000 tickets where the for the one winning ticket is to be $500. What is your expected value?A) $0.00B) $-1.00C) $-0.40D) $-0.50
Accepted Solution
A:
Answer:Step-by-step explanation so the probability of not getting 2 first is 5/6, and this happens six times so we do (5/6)^6 and this is 0.33489797668
, or 33%, so A.The formula for the expected value would be:
Expected Value = (Probability of Winning)*(Prize if won) + (Probability of not winning)*(Prize if not won)
The price you get if you don't win is 0, so we can ignore the 2nd term. Now, the probability of winning is 1/1000, because you bought 1 ticket out of 1000. Since the prize is $500:
Exp. Value = (1/1000)*500 = $0.50
, so its D
I hope this helps!