A card is drawn at random from a standard 52-card deck. Find the probability that the card is an ace or not a club.

0.7692077

Step-by-step explanation:

Number of cards in a standard deck = 52

Number of aces in a standard deck = 4

Number of clubs in a standard deck = 13

Probability = required outcome / Total possible outcomes

P(ace) = 4 / 52 = 0.0769

P(club) = 13 / 52 = 1/4 = 0.25

P(not club) = 1 - p(club) = 1 - 0.25 = 0.75

P(ace and not club) = 3/52 = 0.0576923

P(ace or not club) = p(ace) + p(not club) - p(ace and not club

= 0.0769 + 0.75 - 0.0576923

= 0.7692077

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

215.92 dollars is the answer