Consider two events such that P(A) = 1/4 , P(B) = 2/3 , and P(A ∩ B) = 1/5 . Are events A and B independent events?
1 answer:
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Answer:
4 pounds of strawberries and 5 pounds of apples are bought.
Step-by-step explanation:
Given:
Total number of pounds of fruit = 9 pounds
Total money spent = $16.35
Cost of 1 pound of strawberry = $1.60
Cost of 1 pound of apple = $1.99
Let 'x' pounds of strawberries and 'y' pounds of apples are bought.
So, <u><em>as per question:</em></u>
<em>The sum of the pounds is 9. So,</em>
Now, total sum of the fruits is equal to the sum of 'x' pounds of strawberries and 'y' pounds of apples. So,
Now, plug in the 'y' value from equation (1) in to equation (2). This gives,
Now, from equation 1, we have:
Therefore, 4 pounds of strawberries and 5 pounds of apples are bought.