We toss a coin and probability of getting head or tail is 1/2 each.
I.e P(getting head ) = 1/2
P( getting tail) = 1/2
When we roll two six sided die there are total 36 possible outcomes.
Possible probabilities of getting each number on die are -
| ROLL | PROBABILITY |
|---|---|
| 2 | 1/36 (2.778%) |
| 3 | 2/36 (5.556%) |
| 4 | 3/36 (8.333%) |
| 5 | 4/36 (11.111%) |
| 6 | 5/36 (13.889%) |
| 7 | 6/36 (16.667%) |
| 8 | 5/36 (13.889%) |
| 9 | 4/36 (11.111%) |
| 10 | 3/36 (8.333%) |
| 11 | 2/36 (5.556%) |
| 12 | 1/36 (2.778%) |
Therefore on 2 six sided die P(getting 4 ) = 3/36
When we roll one six sided die number of possible outcomes are 6. And probability of getting 4 is 1/6.
P( getting 4) = 1/6
Therefore required probability is -

Hence 1St option is correct.
You flip a fair coin. On heads, you roll two six-sided dice. On tails, you roll...
Exercise 10.17. We flip a fair coin. If it is heads we roll 3 dice. If it is tails we roll 5 dice. Let X denote the number of sixes among the rolled dice. (a) Find the probability mass function of X. (b) Find the expected value of X.
We flip a coin. If it is heads we roll a four sided die with sides numbered from 1 to 4. If it is tails, we roll a six sided die with sides numbered from 1 to 6. We let X be the number rolled. (a) What is the expectation of X? (b) What is the variance of X? (c) What is the standard deviation of X? We draw cards one by one and with replacement from a standard deck...
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
1.) Suppose you roll two fair six-sided dice. What is the probabilty that I rolled a total of 5? 2.) Suppose you roll two fair six-sided die and I announce that the sun of the two die is 6 or less. What is the probabilty that you rolled a total of 5?
A) Suppose I roll two fair six-sided dice. What is the probability that I rolled a total of 5? B) Suppose I roll two fair six-sided die and I announce that the sum of the two die is 6 or less. What is the probability that I rolled a total of 5?
Tim rolls two six-sided dice and flips a coin.All of the following are possible outcomes, EXCEPT:Heads, 3,41. Tails, 62, 8, Heads5, 2 , Tails
If you roll two fair six-sided dice, what is the probability that the sum is 4 or higher?
You roll two six-sided fair dice. a. Let A be the event that either a 4 or 5 is rolled first followed by an even number. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 5. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? d. Are A and B independent events?
Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin. If “4, 5 or 6” occurs, roll 6-sided dice again. What is the sample space of this experiment, Show with the tree diagram technique. How many sample points are in the sample space? What is the probability that flips results in a head?
You roll two six-sided fair dice. a. Let A be the event that either a 3 or 4 is rolled first followed by an odd number. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 7. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? No, they are not Mutually Exclusive Yes, they are Mutually Exclusive d....