Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a heart or diamond. (b) compute the probability of randomly selecting a heart or diamond or spade. (c) compute the probability of randomly selecting a ten or spade.

a) 0.5

b) 0.75

c) 0.307  

Step-by-step explanation:

We are given the following information in the question:

Number of cards in a deck = 52

Formula:

a) P(Heart or Diamond)

Total number of hearts and diamonds in a deck = 13 + 13 = 26

P( Heart or Diamond) =

b)  P(Heart or Diamond or Spade)

Total number of hearts, diamonds and spades in a deck = 13 + 13 + 13 = 39

P( Heart or Diamond or Spades) =

c)  P(10 or Spades)

Total number of spades in a deck = 13

Number of 10 in a deck = 4

P( 10 or Spades) =

kjgfcvbjkl

step-by-step explanation:

sdfghjkl; vbnm,

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true