5/9 times 2 = 10/18
AND
5/6 times 3 = 15/18
15/18 is bigger SO
THE HOLE IS TO NOT BIG ENOUGH FOR THE SCREW.
Step-by-step explanation:
substitute the values
px=3x+1
=(3x+1)/x
=3x/x +1/x
=3+1/x
rx=2x²+5
p(r(x)) =(3+1/x(2x²+5))
=6x²+15+2x²/x+5/x
=3(2x²+5)+1/x(2x²+5)
=(2x²+5)(3+1/x)
Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
