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Sagot :
Answer:
d. 10%
Step-by-step explanation:
1. Information to know
15 cards left in the deck, and 5 are diamond, to find the probability of the next 2 cards being diamond, one has to find the probability of the 1st card as a diamond, and then multiply it by the probability of the 2nd card being a diamond.
Remember, probability is;
[tex]\frac{favorable-outcomes}{total-outcomes}[/tex]
2. Find probability 1
favorable out comes; diamond = 5
total outcomes; total cards = 15
probability is; [tex]\frac{5}{15}[/tex]
Simplified; [tex]\frac{1}{3}[/tex]
3. Finding probability 2
If the last card drawn was a diamond then the new numbers will be
favorable outcomes; 4
total outcomes; 14
Probability is; [tex]\frac{4}{14}[/tex]
Simplified; [tex]\frac{2}{7}[/tex]
4. Total probability
Now, one has to multiply the first probability by the second probability to find the probability of the event;
[tex]\frac{1}{3} * \frac{2}{7}[/tex]
= [tex]\frac{2}{21}[/tex]
= 0.095238
~10%
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