Using the principle of binomial probability, the probability of having exactly two black cards is 0.3125
- <em>Probability</em><em> </em><em>of</em><em> </em><em>having</em><em> </em><em>a</em><em> </em><em>black</em><em> </em><em>card</em><em> </em><em>=</em><em> </em><em>26</em><em>/</em><em>52</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em>
<u>Using the binomial probability relation</u> :
- P(x = x) = nCx * p^x * q^(n-x)
- <em>p</em><em> </em><em>=</em><em> </em><em>probability</em><em> </em><em>of</em><em> </em><em>success</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em>
- <em>Number of</em><em> </em><em>picks</em><em>,</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>5</em>
- <em>q</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>-</em><em> </em><em>p</em><em> </em><em>=</em><em> </em><em>0.5</em><em> </em>
- <em>x</em><em> </em><em>=</em><em> </em><em>2</em><em> </em>
Hence,
P(x = 2) = 5C2 × 0.5² × 0.5³
P(x = 2) = 10 × 0.25 × 0.125
P(x = 2) = 0.3125
Hence. Probability of having exactly 2 black cards is 0.3125
Learn more : brainly.com/question/12474772
Answer:
42
Step-by-step explanation:
4x + 2 = 1/2 (4x + 44) Be careful how you do this. I have multiplied both sides by 2
2(4x + 2) = 4x + 44 Remove the brackets (distributive)
8x + 4 = 4x + 44 Subtract 4x from both sides
8x-4x + 4 = 44
4x + 4 = 44 Subtract 4 from both sides
4x + 4-4 = 44-4
4x = 40 Divide by 4
4x/4 = 40/4
x = 10
The mid line is 4x + 2
The mid line is 4*10 + 2
The mid line is 40 + 2
The mid line is 42
The base is 4x + 44
The base is 4*10 + 44
The base is 40 + 44 = 84 which is twice the midline. I did this just to show it is twice as big as the midline.
