A cubical dice is rolled two times. Show the probabilities of all the possible outcomes of getting or not getting 5 in a tree diagram

Where is solution guys

To show the probabilities of all the possible outcomes of rolling a cubical dice two times and getting or not getting 5, we can use a tree diagram. Here's how you can construct the tree diagram and calculate the probabilities:

Step 1: Draw the first level of the tree diagram, representing the first dice roll. Since the dice has six sides numbered 1 to 6, there will be six branches coming out from this level.

(1)
/ | \
/ | \
/ | \
(2) (3) (4) (5) (6)

Step 2: From each branch of the first level, draw another level representing the second dice roll. Again, there will be six branches coming out from each branch of the first level.

(1) (2) (3) (4) (5) (6)
/1 2 3 4 5 6 /1 2 3 4 5 6/1 2 3 4 5 6/1 2 3 4 5 6 /1 2 3 4 5 6 /1 2 3 4 5 6
/................................................................................/
(2) (4) (6)
/1 2 3 4 5 6 /1 2 3 4 5 6 /1 2 3 4 5 6 /1 2 3 4 5 6 /1 2 3 4 5 6/1 2 3 4 5 6

Step 3: Assign probabilities to each branch. Since the dice is fair, each outcome has an equal probability of 1/6.

(1) (2) (3) (4) (5) (6)
/1/6 2/6 3/6 4/6 5/6 6/6/1/6 2/6 3/6 4/6 5/6 6/6/1/6 2/6 3/6 4/6 5/6 6/6/1/6 2/6 3/6 4/6 5/6 6/6/1/6 2/6 3/6 4/6 5/6 6/6
/..................................................................................../
(2) (4) (6)
/1/6 2/6 3/6 4/6 5/6 6/6 /1/6 2/6 3/6 4/6 5/6 6/6/1/6 2/6 3/6 4/6 5/6 6/6 /1/6 2/6 3/6 4/6 5/6 6/6

Step 4: Calculate the probabilities of each outcome by multiplying the probabilities along the branches.

The possible outcomes are as follows:

1. Getting 5 on both rolls:
Probability = (1/6) * (1/6) = 1/36

2. Getting 5 on the first roll and not getting 5 on the second roll:
Probability = (1/6) * (5/6) = 5/36

3. Not getting 5 on the first roll and getting 5 on the second roll:
Probability = (5/6) * (1/6) = 5/36

4. Not getting 5 on both rolls:
Probability = (5/6) * (5/6) = 25/36

By calculating these probabilities, you can complete the tree diagram and show all the possible outcomes and their respective probabilities.

cubical dice is rolled two times. Show the probabilities of all the possible outcomes of getting or not getting 5 in a tree diagram

Almost impossible to show a "tree diagram" in this format of posting.