Question

Die question: We toss a fair 6-sided die until exactly 5 spots appear on the top...

Die question:

We toss a fair 6-sided die until exactly 5 spots appear on the top of the die.

a) Referring to Die, what is the probability that we first obtain 5 spots atop the die on the third toss?

b) Referring to Die, what is the expected number of tosses until the first 5 appears on top of the die?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A fair 6-sided die with faces numbered 1 to 6 is tossed successively and independently until...
A fair 6-sided die with faces numbered 1 to 6 is tossed successively and independently until the total of the faces is at least 14. Find the probability that at least 4 tosses are needed.
1. Suppose you have a fair 6-sided die with the numbers 1 through 6 on the...
1. Suppose you have a fair 6-sided die with the numbers 1 through 6 on the sides and a fair 5-sided die with the numbers 1 through 5 on the sides. What is the probability that a roll of the six-sided die will produce a value larger than the roll of the five-sided die? 2. What is the expected number of rolls until a fair five-sided die rolls a 3? Justify your answer briefly.
Assume we roll a fair four-sided die marked with 1, 2, 3 and 4. (a) Find...
Assume we roll a fair four-sided die marked with 1, 2, 3 and 4. (a) Find the probability that the outcome 1 is first observed after 5 rolls. (b) Find the expected number of rolls until outcomes 1 and 2 are both observed. (c) Find the expected number of rolls until the outcome 3 is observed three times. (d) Find the probability that the outcome 3 is observed exactly three times in 10 rolls given that it is first observed...
Assume we roll a fair four-sided die marked with 1, 2, 3 and 4. (a) Find...
Assume we roll a fair four-sided die marked with 1, 2, 3 and 4. (a) Find the probability that the outcome 1 is first observed after 5 rolls. (b) Find the expected number of rolls until outcomes 1 and 2 are both observed. (c) Find the expected number of rolls until the outcome 3 is observed three times. (d) Find the probability that the outcome 3 is observed exactly three times in 10 rolls given that it is first observed...
Two old gamblers alternate at rolling a fair 6-sided die until the first 6 comes up....
Two old gamblers alternate at rolling a fair 6-sided die until the first 6 comes up. Compute the probability of the first player winning.
A fair 4-sided die and a fair 6-sided die will be rolled. A) Give the sample...
A fair 4-sided die and a fair 6-sided die will be rolled. A) Give the sample space. B) What is the probability the sum is 9? C) What are the chances that the sum is 4, or the 4 sided die comes up a 3?
If we toss a fair coin and roll a fair die at the same time, then...
If we toss a fair coin and roll a fair die at the same time, then the probability of getting a 6 on the die and a head on the coin is: A) 1/4 B) 2/3 C) 1/3 D) 1/12
13) Approximate the probability that in 300 tosses of a fair die, we will obtain exactly...
13) Approximate the probability that in 300 tosses of a fair die, we will obtain exactly 48 fives. a) Without completing any calculations, name all three methods of potentially solving this problem. TIP: FAIR SIDED DICE 1,2,3,4,5,6 b) Based on the specifics (numerical data) of the problem, evaluate all three methods of potentially solving this problem. Be sure to note which methods can and cannot be used to solve this problem explaining why or why not. c) Choose the best...
A fair six-sided die is tossed twice. Consider the following events: 1. A : First toss...
A fair six-sided die is tossed twice. Consider the following events: 1. A : First toss yields an even number. 2. B : Second toss yields an odd number. 3. C : Sum of two outcomes is even. Find P(A), P(B), P(C), P(B ∩ C), P(C|B), P(C|A ∩ B) and P(B|C).
Suppose that we roll a pair of (6 sided) dice until the first sum value appears...
Suppose that we roll a pair of (6 sided) dice until the first sum value appears that is 7 or less, and then we stop afterwards. a. What is the probability that exactly three (pairs of) rolls are required? b. What is the probability that at least three (pairs of) rolls are needed? c. What is the probability that, on the last rolled pair, we get a result of exactly 7?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT