Consider independently rolling two fair dice, one red and the other green. Let A be the event that the red die shows 3 dots, B b

Question

3 years ago

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Consider independently rolling two fair dice, one red and the other green. Let A be the event that the red die shows 3 dots, B b

e the event that the green die shows 4 dots, and C be the event that the total number of dots showing on the two dice is 7. Are these events pairwise independent (i.e., are A and B independent events, are A and C independent, and are B and C independent)

Mathematics

1 answer:

max2010maxim [7] · Answer 1 · 2022-02-07T21:07:05+03:00

Answer:

A & B are independent events. A & C, B & C are not independent events.

Step-by-step explanation:

Independent Events are the events, whose occurrences are completely unrelated to each other.

Event A 'Red dice getting 3' & Event B 'Green die getting 4' ; are unrelated to each other. The numbers on red dice & on green dice are not dependent on each other.

Event C 'Red & Green dice numbers showing sum = 7' is dependent on the numbers coming on red & green dice , i.e events A & events B respectively. So, event C is dependent on both events A & B.