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.
Same girl oh my god it won’t let me ask anymore questions. Not my fault my math teacher gave me 30 questions to ask
F(x + 1) = (5/2)*f(x)
f(x + 1) = 2.5*f(x), f(1) = 3.2
f(2) = 2.5f(1) = 2.5*3.2 = 8
<span>f(3) = 2.5f(2) = 2.5*8 = 20
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f(4) = 2.5f(3) = 2.5*20 = 50
<span>f(5) = 2.5f(4) = 2.5*50 = 125</span>
Answer: 3
Explanation: logarithm base 8 of 512 is 3