Question

Six cards are drawn at random from a pack of cards. What is the probability that 3 will be red and 3 black

Answer 1

the probability of 3 will be red and 3 black

so 26 card card are in black colour

and 26 card are in red colour
p ( e ) = 32/ 52

I m not sure

Answer 2

The probability that 3 will be red and 3 black is 0.3320

Step-by-step explanation:

No. of red color cards = 26

No. of black color cards = 26

Total no. of cards = 52

So, Probability of getting 3 red and 3 black card = $\frac{^{26}C_3 \times ^{26}C_3}{^{52}C_6}$

Formula :$^nC_r=\frac{n!}{r!(n-r)!}$

Probability of getting 3 red and 3 black card = $\frac{\frac{26!}{3!(26-3)!} \times \frac{26!}{3!(26-3)!}}{\frac{52!}{6!(52-6)!}}=0.3320$

Hence the probability that 3 will be red and 3 black is 0.3320

#Learn more :

One card is drawn at random from a pack of cards. Find the probability that it is black card.

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