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
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Answer:
Yes
Explanation:
Yes
Answer:
the answer 4
Step-by-step explanation:
4 of each because (1.25x4) + (1.50x4) = 11.50
Answer:
d<-3
Step-by-step explanation:
-7d + 8 > 29
subtract 8 from each side
-7d>21
multiply both side by -1 and reverse the inequality sign
7d<-21
divide both sides by 7
d<-3
hope this helps :)
Answer:
Noah's mixture will taste more like orange, than Andre's mixture.
Step-by-step explanation:
Given:
Noah mixes 4 scoops of powder with 6 cups of water.
Means Noah ratio will be 
or 0.67
Andre mixes 5 scoops of powder with 8 cups of water
Means Andre ratio will be 
or 0.62
As,
or
0.66 > 0.62
We can say that content of orange powder will be more in Noah mixture than in Andre's Mixture.
Hence, Noah's mixture will taste more like orange, than Andre's mixture.
