Two cards are drawn from a deck one after the other, without replacement of the first card. (a). Find the probability of drawing a 4 and then drawing a 5.
(b). Find the probability of drawing a 4 and then drawing another 4.
(c). Extend this idea to more than two cards. Find the probability of drawing a 4, drawing a 4,
and then drawing another 4 out of a deck without replacement.
(d). Four cards are drawn from a deck one after the other, without replacement. Find the
probability of drawing a club, drawing a club, drawing a heart, and drawing a diamond.

c.

step-by-step explanation:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)