<span>3/4x - 4/5 = 1/2x + 1
</span>3/4x - 4/5 = 2/4x + 1
3/4x - 2/4x = 1 + 4/5
1/4x = 9/5
x = (9x4) / (5x1)
x = 36/5
x = 7 1/5
Answer:
The probability that our guess is correct = 0.857.
Step-by-step explanation:
The given question is based on A Conditional Probability with Biased Coins.
Given data:
P(Head | A) = 0.1
P(Head | B) = 0.6
<u>By using Bayes' theorem:</u>

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.
Now,
P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)
By putting the value, we get
P(Head) = 0.5 × 0.1 + 0.5 × 0.6
P(Head) = 0.35
Now put this value in
, we get



Similarly.

Hence, the probability that our guess is correct = 0.857.
The Associative property of addition is being shown, because it doesn't matter the order of the terms.
No there totally differnt
First, let's convert all of these numbers to decimal form:
(This will make it much easier to compare.)
- 0.6, - 0.625, - 0.4117, - 0.72
Now we can list them from least to greatest!
-0.4117, - 0.6, -0.625, -0.72
And don't forget to convert the selective decimals that we converted earlier back into fractions!
Therefore, the final list would be:
- 7/17, - 0.6, - 5/8, - 0.72
Hope this helps!