The probability that the card is not yellow is 
<em><u>Solution:</u></em>
<em><u>The probability of an event is given as:</u></em>

From given,
A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards
Total number of possible outcomes = 8 + 8 + 2 = 18
Favorable outcome = card is not yellow
Favorable outcome = card is blue or green = 8 + 2 = 10
Therefore,

Thus the probability that the card is not yellow is 5/9
Answer:
Step-by-step explanation:
R=4x+3
H=3x+6
Volume of a cylinder= Πr²h
inserting the parameters
v=π(4x+3)²(3x+6)
v=π(16x²+24x+9)(3x+6)
V=π[3x(16x²+24x+9) +6(16x²+24x+9)]
v=Π(48x³+72x²+27x+96x²+144x+54)
v=π(48x³+168x²+171x+54)m³
Answer:
25/200
Step-by-step explanation:
Start by multiplying both the top and bottom by 1,000, to get 125/1,000. Then simplify the fraction if you'd like to. For example, you should see that both the top and bottom are dividable by 5, so divide them each by 5 to get 25/200.
Answer:
The probability that none of the LED light bulbs are defective is 0.7374.
Step-by-step explanation:
The complete question is:
What is the probability that none of the LED light bulbs are defective?
Solution:
Let the random variable <em>X</em> represent the number of defective LED light bulbs.
The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.
A random sample of <em>n</em> = 10 LED light bulbs is selected.
The event of a specific LED light bulb being defective is independent of the other bulbs.
The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.
The probability mass function of <em>X</em> is:

Compute the probability that none of the LED light bulbs are defective as follows:


Thus, the probability that none of the LED light bulbs are defective is 0.7374.