Answer:
Step-by-step explanation:
hello,
I understand that there are only 4 cards and then the player draw a card out of the 4 cards, replace it so the second draw is still out of the 4 cards
<u>How many ways can you draw two cards?</u>
as the first card is replaced, this is 4*4=16
so there is 16 possibles ways
hearts hearts
hearts clubs
hearts diamonds
hearts spades
clubs hearts
clubs clubs
clubs diamonds
clubs spades
diamonds hearts
diamonds clubs
diamonds diamonds
diamonds spades
spades hearts
spades clubs
spades diamonds
spades spades
<u>out of these 16 ways, how many have same colour for both cards?</u>
I assume that there are only two colours Red and Black, so we can have
only 8 ways so the first probability is 8/16 = 1/2
<u>out of these 16 ways, how many are red ace first and black ace?</u>
There are 4 ways so the probability is 4/16 = 1/4
hope this helps
You most likely will win a token. you have the advantage as the most they can win is 1 token if you lose, but you can win 3 tokens.
The required number is -3 which when added to the numerator and to the denominator of 5/8 results in a fraction whose value is 0.4.
<h3>What is a fraction?</h3>
Fraction is the ratio of a particular part to the whole parts of an object. A fraction has a numerator and a denominator.
<h3>Calculation:</h3>
The given fraction is 5/8
Consider a number as 'x' which is added to both the numerator and the denominator of the given fraction.
So,
(5 + x)/(8 + x)
Since it is given that the result is 0.4 i.e., 4/10, we can write
(5 + x)/(8 + x) = 4/10
⇒ 10(5 + x) = 4(8 + x)
⇒ 50 + 10x = 32 + 4x
⇒ 10x - 4x = 32 - 50
⇒ 6x = -18
⇒ x = -18/6
∴ x = -3
Therefore, the required number is -3.
Check:
(5 + (-3))/(8 + (-3)) = (5 - 3)/(8 - 3) = 2/5 = 0.4
Learn more about fractions here:
brainly.com/question/17220365
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