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.
Answer:
(c) Stay the same
Step-by-step explanation:
Final angle will be same as initial angle. But length of lines will increase in both direction proportionally.
However any normal curve(closed or open ) will remain proportional to initial one. It is like a Zooming or magnifying of object.
Answer:
65
Step-by-step explanation:
First, let's consider the case where you have 1 apple in the basket. The possible number of baskets you can have with 1 apple is 11: the case where you have no oranges besides the apples, the case where you have 1 orange, the case where you have 2 orange, etc.
This line of reasoning can be followed by each possible amount of apples you can have: 0, 1, 2, 3, 4 and 5.
Keep in mind that in the case where you have no apples, you must exclude the case where you also have no oranges, because the problem tells you that the basket must have at least 1 fruit.
So, the answer would be:
x = 6*11 -1 = 65 possible baskets
