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madisonwr
21.05.2020 •
Mathematics
Find the complement of 76°.
A. 38°
B. 308°
C. 166°
D. 14°
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Ответ:
The probability of getting exactly 6 spades,4 hearts,2 diamond and one club=![\frac{\binom{13}{6}\times\binom{13}{4}\times \binom{13}{2}\times\binom{13}{1}}{\binom{52}{13}}](/tpl/images/0122/0976/37d7d.png)
Step-by-step explanation:
We are given that a bridge hand that draw 13 cards at random and without replacement from a regular 52 cards deck.
We have to find the probabilities
1.exactly 6 spades
We know that in one deck
Total number of spades=13
Total number of heart =13
Total number of diamond in a deck=13
Total number of clubs in a deck =13
Total number of cards=52
The probability of getting exactly 6 spades,4 hearts,2 diamond and one club=![\frac{\binom{13}{6}\times\binom{13}{4}\times\binom{13}{2}\times\binom{13}{1}}{\binom{52}{13}}](/tpl/images/0122/0976/9b69a.png)
Probability,P(E)=![\frac{number\;of\;favourable\;cases}{Total\;number\;of\;cases}](/tpl/images/0122/0976/ee3fe.png)
The probability of getting exactly 6 spades,4 hearts,2 diamond and one club=![\frac{\binom{13}{6}\times\binom{13}{4}\times \binom{13}{2}\times\binom{13}{1}}{\binom{52}{13}}](/tpl/images/0122/0976/37d7d.png)