a)
A= sum is an odd number
B= sum is between the 3 to 7
B)
A= even no
B= sum less than the 10
could you please show me how to do both of these. 2) Roll 2 dice and...
You roll a dice twice and add the numbers. Find the probability that you get a result less than 6 given that the tosses resulted in an odd number.
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. You roll a pair of standard dice. Create the sample space for a single roll of the dice and use the sample space to compute the following probabilities. A. Create a sample space. B. P ( getting a 1 on the first die or getting a 5 on the second die) C. P (Sum of the dice = 10) D. P ( getting a 3 on the second die given that you got a 2 on the first die)...
Suppose you roll two fair dice and the dice add up to. For each possible value of s ∈ {2, 3, . . . , 12},let Fs be the event that the dice sum to. Then determine the probability that, given that Fs occurs, the two dice multiply to a number less than 15.
If you roll two six-sided dice, what is the probability of obtaining the following outcomes? a)2 or 3 b) 6 and 4 c) At least one 5 d) Two of the same number (two 1s, or two 2s, or two 3s, etc.) e) An even number on both dice f) An even number on at least one die and please show how you got the answers ex. P(something) = (1/2)*(1/3) = (1/6)
If you roll two six-sided dice, what is the probability of obtaining the following outcomes? a)2 or 3 b) 6 and 4 c) At least one 5 d) Two of the same number (two 1s, or two 2s, or two 3s, etc.) e) An even number on both dice f) An even number on at least one die and please show how you got the answers ex. P(something) = (1/2)*(1/3) = (1/6)
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 77 b) (5 points) In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6? o) (5 points) Given that the frstroll was an odd number what is the probability that sum exceeds 6? The notation for this is P(A I B)- Probability(sum exceeds 6 given that the first...
please show me all the steps two fair dice rolled find the probability that the number of that appears is: a) are both 2 b) have a total that is at most 10 c) are both factors of 70 whose product divides 70 d) add to a number that is divisible by 5
Please answer the question clearly
6. Suppose that we roll a pair of balanced dice. Let X be the number of dice that show 1 and Y be the number of dice that show either 4, 5, or 6. (a) Draw a diagram like Figure 3.1 on page 62 showing the values of the pair (X, Y) associated with each of the 36 equally likely points of the sample space. (b) Construct a table showing the values of the joint...
There exists 3-sided dice. Such a die, when you roll it, will show 1, 2, or 3 with equal probability. The experiment is to roll 3 such dice. Random variable T is the total of all 3 dice. t P(T=t) 3 4 5 6 7 8 9