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1 year ago

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During a game of roulette, a wheel is spun and a ball drops randomly into one of the wheel's numbered compartments. then the pro

cess is repeated with another random spin. are these two events dependent or independent?

1 answer:

scoray [572]1 year ago

6 0

The two events are independent of each other.

According to the question during a game of roulette, a wheel is spun and a ball drops randomly into one of the wheel's numbered compartments. The ball can drop in any one of the wheel's numbered compartments , there is no restriction on it.

Now, the process is repeated with another random spin. when the process is repeated the ball can drop in any one of the wheel's numbered compartments , there is no restriction on it. As the first spin does not affect the second spin, we can conclude that these two events are completely independent of each other.

To know more about independent events refer to the link:

brainly.com/question/1374659

#SPJ4

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

In all of these problems, the key is to remember that you can undo a trig function by taking the inverse of that function. Watch and see.

a. $sin2\theta =-\frac{\sqrt{3} }{2}$

Take the inverse sin of both sides. When you do that, you are left with just 2theta on the left. That's why you do this.

$sin^{-1}(sin2\theta)=sin^{-1}(-\frac{\sqrt{3} }{2} )$

This simplifies to

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We look to the unit circle to see which values of theta give us a sin of -square root of 3 over 2. Those are:

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Divide both sides by 2 in both of those equations to get that values of theta are:

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We look to the unit circle to find the values of beta that give us the cosine of 1/2 and those are:

$3\beta =\frac{\pi}{6},3\beta =\frac{5\pi}{6}$

Divide each of those by 3 to find the values of beta are:

$\beta =\frac{\pi }{18} ,\frac{5\pi}{18}$

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