Answer: C - distributive property of multiplication over subtraction
Step-by-step explanation:
Well if those are the only 3 options of a segment, then there is a 1/3 chance of landing on A, then a 1/3 chance of landing on B, then a 1/3 chance of landing on C. Multiply the fractions together to get 1/27. However that isn't one of your answers. I'm thinking that the spinner has 4 sections, meaning 1/4 chance of A, then 1/4 chance of B, then 1/4 chance of C. Multiply these together to get 1/64, which is one of your answers. That's my input anyway
substitute x for y-1
2(y-1)-y=6 distribute
2y-2-y=6 subtract y in 2y
y-2=6 add 2 to get y by itself
y=8
Put y back into equation x=y-1
x=8-1
X=7
Answer:
Total number of cards in a standard deck of card=52
As deck of card contain 13 club +13 heart +13 spade+13 Diamond.
P(Diamond)=13/52 =1/4
If the card is not diamond then
P(not diamond)=39/52=3/4
Since after drawing card is not replaced
P ( second Diamond)=12/51
now if second card is not Diamond.then
P(non diamond)=39/51
Chances of your winning i.e both cards are diamonds=1/4×12/51=1/17=0.0588..(approx)
chances of your friend winning=1/4×39/51=[1/4]×[13/17]=13/68=0.1911..(approx)
Your friend has got better chance to win because there are more chances that both the cards are not Diamonds.
From greatest to least it goes |-34| , |26| , -|-20| , -23 , -|28|