The probability that a red die shows a number larger than three or a green die shows a number less than three if the red die is tossed then the green die is tossed is 2/3.
What is Probability ?
Probability is the stream in Mathematics which studies the likeliness of an event to happen .
It is given in the question that
the probability that a red die shows a number larger than three or a green die shows a number less than three if the red die is tossed then the green die is tossed = ?
The ways that the red die shows a number larger than three.
= 3 ways
If such happens , The green die can have any number so 6 ways
6 * 3 = 18 ways
or
if the green die shows a number less than three, and red die can have any number , this can happen in 2 * 6 = 12 ways.
The time at which the red die shows a number larger or the green die shows number less than 3 is counted twice , which needs to subtracted
The ways for this is 3 * 2 = 6
Total ways this can happen is
18 + 12 - 6
= 24 ways
Total ways to roll both the die is 6 * 6 = 36 ways
the probability that a red die shows a number larger than three or a green die shows a number less than three if the red die is tossed then the green die is tossed is 24/36 = 2/3
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