What are line segments?
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Probabilities are used to determine the chances of Laura winning an activity
- The value of p is 1/12
- The expected score of the game is -1/6
- The probability that she has a total score of 5 after two rounds is 0
To calculate the value of p, we make use of the following probability formula
So, we have:
Collect like terms
Evaluate the sums, on the left-hand side
Subtract 11/12 from both sides
Hence, the value of p is 1/12
<h3>(b) How to calculate the expected score</h3>This is calculated using the following expected value formula
So, we have:
Evaluate the products
Simplify
Hence, the expected score of the game is -1/6
<h3>(c) The probability that she has a total score of 5 after two rounds</h3>From the table, we have:
For after two rounds, we make use of the following equation
Hence, the probability that she has a total score of 5 after two rounds is 0
Read more about probabilities at:
First of all, 34 is a rational number: 
If you mean the square root of 34 (and I think you do), then here is one way to approximate it:
We know that the √25 is 5 and the √6 = 36 and that the √34 is somewhere between those two numbers. It is certainly closer to 36 than 25 so I am going to guess high. I will guess 5.8 I will do 34 ÷ 5.8 = (about) 5.8620. That was close but not rounded to the nearest .05 since it could be 5.80 (my guess) or 5.90 (5.86 rounded to the nearest 05.
Let's do it one more time: I will find the average of the the number I divided by and the quotient: (5.8 + 5.6820) ÷ 2 = 5.831 I will use this as my new divisor with 34
34 ÷ 5.831 = (about 5.8309)
You can see that I now know the √34 out to the nearest hundred. It is about 5.83
Notice that as many times as I could keep doing this procedure, I will never get a number that, when multiplied by itself, gives me exactly 34. That is the definition of an irrational number.
If you mean the square root of 34 (and I think you do), then here is one way to approximate it:
We know that the √25 is 5 and the √6 = 36 and that the √34 is somewhere between those two numbers. It is certainly closer to 36 than 25 so I am going to guess high. I will guess 5.8 I will do 34 ÷ 5.8 = (about) 5.8620. That was close but not rounded to the nearest .05 since it could be 5.80 (my guess) or 5.90 (5.86 rounded to the nearest 05.
Let's do it one more time: I will find the average of the the number I divided by and the quotient: (5.8 + 5.6820) ÷ 2 = 5.831 I will use this as my new divisor with 34
34 ÷ 5.831 = (about 5.8309)
You can see that I now know the √34 out to the nearest hundred. It is about 5.83
Notice that as many times as I could keep doing this procedure, I will never get a number that, when multiplied by itself, gives me exactly 34. That is the definition of an irrational number.