# Question: Suppose that two dice are tossed For each die it

Suppose that two dice are tossed. For each die, it is equally likely that 1, 2, 3, 4, 5, or 6 dots will turn up. Let S be the sum of the two dice.

a. What is the probability that S will be 5 or 7?

b. What is the probability that S will be some number other than 4 or 8?

c. Let E1 be the event that the first die shows a 3. Let E2 be the event that S is 6. Are E1 and E2 independent events?

d. Again, let E1 be the event that the first die shows a 3. Let E3 be the event that S is 7. Are E1 and E3 independent events?

e. Given that S is 7, what is the probability that the first die showed 4 dots?

f. Given that the first die shows a 3, what is the probability that S is an even number?

a. What is the probability that S will be 5 or 7?

b. What is the probability that S will be some number other than 4 or 8?

c. Let E1 be the event that the first die shows a 3. Let E2 be the event that S is 6. Are E1 and E2 independent events?

d. Again, let E1 be the event that the first die shows a 3. Let E3 be the event that S is 7. Are E1 and E3 independent events?

e. Given that S is 7, what is the probability that the first die showed 4 dots?

f. Given that the first die shows a 3, what is the probability that S is an even number?

**View Solution:**## Answer to relevant Questions

A fair coin (i.e., heads and tails are equally likely) is tossed three times. Let X be the number of heads observed in three tosses of this fair coin. a. Find the probability distribution of X.b. Find the probability that ...The National Football League playoffs are just about to begin. Because of their great record in the regular season, the Colts get a bye in the first week of the playoffs. In the second week, they will play the winner of the ...Betting on a football point spread works as follows. Suppose Michigan is favored by 17.5 points over Indiana. If you bet a “unit” on Indiana and Indiana loses by 17 or less, you win $10. If Indiana loses by 18 or more ...A local pharmacy has two checkout stations available to its customers: a regular checkout station and an express checkout station. Customers with six or fewer items are assumed to join the express line. Let X and Y be the ...You know that in one year you are going to buy a house. The annual interest rate for fixed-rate 30-year mortgages is currently 6.00%, and the price of the type of house you are considering is $120,000. However, things may ...Post your question