If two cards are drawn without replacement from a 52 card deck, find the probability that the second card drawn is red, given th
1 answer:
Answer:
The probability that the second card drawn is red, given that the first card was a heart is 0.1225
Step-by-step explanation:
Total cards in a deck = 52
Total red cards = 26
Heart cards = 13
Probability of getting red card =
Total remaining card = 51
Remaining red cards = 25
Probability of getting red card in second draw without replacement =
So, the probability that the second card drawn is red, given that the first card was a heart =
Hence the probability that the second card drawn is red, given that the first card was a heart is 0.1225
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Answer:
The exact solution is
And the approximation to three decimal places is:
x = 0.363
Step-by-step explanation:
Here we have the equation:
Now we can remember a property of the natural logarithm function:
Ln(a^n) = n*Ln(a)
Now we can apply the Ln( ) function to both sides of that equation to get:
Then we get:
Solving that for x we get:
So the exact solution is:
And the approximation to three decimal places is:
x = 0.363