A box contains ten cards labeled Q, R,S, T,U, V,W, X,Y, and Z. One card will be randomly chosen. What is the probability of choosing a letter from U to Z?

Therefore,

The probability of choosing a letter from U to Z is

Step-by-step explanation:

A box contains ten cards labeled Q,R,S,T,U,V,W,X,Y, and Z. One card will be randomly chosen.

Given

Let "S" be the sample space of the Experiment for a card choose

S = { Q, R, S, T, U, V, W, X, Y, Z }

n(S) = 10

Let A be the event of getting a letter U to Z,

A = { U, V, W, X, Y, Z }

n(A) = 6

To Find:

P(A) = ?

Solution:

Now Probability is given as

Substituting the values we get

Therefore,

The probability of choosing a letter from U to Z is

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: