Dedicated to Abhay Tiwari

Abhay Tiwari was a great champ in playing cards. Once, one of his friends challenged him to play from a pack of 52 well-shuffled cards. But this time, all the face cards and spades cards would be removed. If Abhay played first, then what is the probability of him drawing a red number in his first turn?

Hint :- Ace is not a number card.

0.60 0.40 0.67 0.45

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1 solution

Ashish Menon
Apr 26, 2016

If all the face cards are removed, then the number of remaining cards = (52 - (4×3)) = 40.
Now, the remaining 10 spades cards which are black are removed. So, number of cards left = (40 - 10 = 30)
So, the only red number cards are :- 2,3,4,5,6,7,8,9,10. There is no card 1, there is only A, so it is not a "number" card. So, number of red number cards = (2 × 9 = 18)

So, probability of getting a red number card = 18 30 = 0.6 \dfrac{18}{30} = \boxed{0.6}

It might be a good idea to specify that in this case the Ace isn't considered a number card... Just a thought...

Geoff Pilling - 4 years, 10 months ago

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Wow, only 2 solvers! Maybe you are right, I should specify that. Done, thanks!

Ashish Menon - 4 years, 10 months ago

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