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ra1l [238]
3 years ago
13

If 6 cards are drawn at random from a standard deck of 52 cards, what is the probability that exactly 2 of the cards are spades?

0.038 0.200 0.315 0.465 0.747
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
7 0
Last one..................................................................................................................................................

inysia [295]3 years ago
3 0

Answer:

The probability that exactly 2 of the cards are spades is 0.315  

Step-by-step explanation:

Given that 6 cards are drawn at random from a standard deck of 52 cards,

we have to find the probability that exactly 2 of the cards are spades.

Total cards=52

Number of cards which are spades=13

Remaining cards=52-13=39

Probability=\frac{\text{favourable outcomes}}{\text{Total number of outcomes}}

Probability=\frac{_2^{13}\txterm{C}\times _4^{39}\txterm{C}}{_6^{52}\txterm{C}}

Probability=\frac{\frac{13!}{2!11!}\times \frac{39!}{35!4!}}{\frac{52!}{6!46!}}=0.31512988174\sim 0.315

Option 3 is correct.

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