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Lemur [1.5K]
3 years ago
13

Jake carries a green and yellow and a black guitar pick in his pocket he randomly chooses a guitar pick from his pocket before e

very concert what is the probability will he select the same color pic for two concert in a row?
Mathematics
2 answers:
e-lub [12.9K]3 years ago
8 0
The answer is 1/3...I got this question on I-ready and I hate when I don't pass a lesson...hope this will help you guys out.
Andrej [43]3 years ago
6 0

Answer:

\bf\textbf{The required probability = }\frac{4}{9}

Step-by-step explanation:

The total number of ways that he can pick a pic are 3 × 3 × 3 = 27 ways

If Jake selects the black pic in the first concert, then number of ways of success are :

B B G

B B Y

B G G

B Y Y  

Total number of success = 4

If Jake selects the green pic in the first concert, then number of ways of success are :

G G B

G G Y

G B B

G Y Y

Total number of success = 4

If Jake selects the yellow pic in the first concert, then number of ways of success are :

Y Y B

Y Y G

Y B B

Y G G

Total number of success = 4

Therefore, in all the three cases total number of successes are :

4 + 4 + 4 = 12

Probability = \frac{\text{Number of successful ways}}{\text{Total number of ways}}\\\\\implies Probability = \frac{12}{27}=\frac{4}{9}

\bf\textbf{Hence, The required probability = }\frac{4}{9}

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Write a two-column proof. Given: 7y = 8x - 14; y = 6. Prove that : x = 7.
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Answer:

Given: 7y =8x-14 , y =6

To prove: x =7

On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.

7(6)= 8x - 14

or

42 = 8x -14                       ......[1]

Addition Property of equality states that you add the same number to both sides of an equation.

Add 14 to both sides in equation [1];

42+14 =8x -14+14

Simplify:

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or

8x =56                                 ......[2]

Division Property of equality states that you divide the same number to both sides of an equation.

Divide by 8 to both sides of an equation [2];

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A two Column proof:

 Statement                                Reason

1. 7y = 8x -14                                   Given

    y= 6

2. 7(6) = 8x -14                                Substitution property

3.  42+14 = 8x                                  Addition property of equality

4.   56 =8x                                       Simplify

5.    x =7                                           Division Property of equality

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