Let A = {1, 2, 3} and R be the following relation on A;

Mathematics

1 answer:

Amanda [17]2 years ago

5 0

Answer:

The relation is reflexive as

(1,1),(2,2),(3,3)∈R

(2,1)∈R will not imply (1,2)∈R,

hence R is not symmetric

(2,1),(1,3)∈R doesn't imply (2,3)∈R, hence R is not transitive

Step-by-step explanation:

hope this helps if not let me know have a blessed day

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There are 3 red and 8 green balls in a bag. If you randomly choose balls one at a time, with replacement, what is the probabilit

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So, the total number of balls is 11. We want to pick 2 red balls and 1 green ball. WLOG (since order doesnt matter here), we can say he picks red, green, red. That means on his first pick, he has a $\frac{3}{11}$ chance of picking the red ball, and he places it back in the bag. The probability of picking a green ball is $\frac{8}{11}$ , and then he places the ball back in the bag. The probability of picking the last red ball is the same as the last red ball example, and we simply multiply the probabilities together as per the multiplication rule to get:

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