SOLUTION: box have 4 red, 3 green balls. another box have 2 red, 1 green. ball selected from each bag. find probability both are different color

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Question 1073869: box have 4 red, 3 green balls. another box have 2 red, 1 green. ball selected from each bag. find probability both are different color

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Take the time to write your questions more coherently.
There'll be a higher probability it gets answered.
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So look at the possible outcomes.
You choose a red ball from the first bag, then choose a green ball from the second.
Or you choose a green ball from the first bag, then choose a red ball from the second.
The first case P(RG),
P%28R%5B1%5D%29=4%2F7
P%28G%5B2%5D%29=1%2F3
So,
P%28RG%29=%284%2F7%29%281%2F3%29=4%2F21
The second case P(GR),
P%28G%5B1%5D%29=3%2F7
P%28R%5B2%5D%29=2%2F3
So,
P%28GR%29=%283%2F7%29%282%2F3%29=6%2F21
So then together,
P=P%28RG%29%2BP%28GR%29
P=4%2F21%2B6%2F21
P=10%2F21