A drink is made by mixing pineapple juice, orange juice and lime juice in the ratio 2:7:3. How much pineapple juice is used
1 answer:
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The probability of choosing two yellow marbles = 5/26
Step-by-step explanation:
Step 1 :
Given
Total number of marbles in the bag = 13 marbles
Number of yellow marbles = 6.
We choose 2 marbles from the bag without replacing and need to determine the probability that both are yellow.
Step 2 :
Probability of finding yellow marble in the first try = Number of yellow marbles / Total number of marbles =
Once the yellow marble is selected we have 5 yellow marbles among 12 remaining marbles in the bag.
Probability of finding yellow marble in the second try = Number of yellow marbles / Total number of marbles =
Step 3:
P(yellow in first 2 tries) = P(yellow in first try) * P(yellow in second try)
P(yellow in first 2 tries) = =
Step 4:
Answer:
The probability of choosing two yellow marbles = 5/26
Answer:
The simplified form is .
is the excluded value for the given expression.
Step-by-step explanation:
Given:
The expression given is:
Let us simplify the numerator and denominator separately.
The numerator is given as
2 is a common factor in all the three terms. So, we factor it out. This gives,
Now,
Therefore, the numerator becomes
The denominator is given as:
Factoring out 3, we get
Now, is of the form
So,
Therefore, the denominator becomes
Now, the given expression is simplified to:
There is in the numerator and denominator. We can cancel them only if
as for
, the given expression is undefined.
Now, cancelling the like terms considering , we get:
Therefore, the simplified form is
The simplification is true only if . So,
is the excluded value for the given expression.