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Answer:
0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Coin chosen from box B is red.
Event B: Blue poker chip transferred.
Probability of choosing a red coin:
7/10 of 4/9(red coin from box A)
6/10 of 5/9(blue coin from box A). So
Blue chip transferred, red coin chosen:
6/10 of 5/9. So
What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?
0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red
Hey there!
When we multiply fractions and whole numbers, we simply take that whole number and put it over them, and just multiply across. That gives us:
Notice how it's four, because when we have a fraction, we divide. 8 divided by 2 equals four. Next:
4/4 is equal to 1 because 4 divided by 4 is one. 4 goes into 4 once. Next, we have:
That's because 6/3 = 2.
Hope this helps!
When we multiply fractions and whole numbers, we simply take that whole number and put it over them, and just multiply across. That gives us:
Notice how it's four, because when we have a fraction, we divide. 8 divided by 2 equals four. Next:
4/4 is equal to 1 because 4 divided by 4 is one. 4 goes into 4 once. Next, we have:
That's because 6/3 = 2.
Hope this helps!
Answer:
540
Step-by-step explanation: