# In a standard deck of 52 cards, what are the odds of correctly identifying suit and number of two different cards with only 22 cards flipped over?

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

1
Feb 3, 2018

$\frac{1}{435} = 0.0023$

#### Explanation:

$\text{I suppose you mean that there are 22 cards shown, so that}$
$\text{there are only 52-22 = 30 unknown cards.}$
$\text{There are 4 suits and every card has a rank, i assume that}$
$\text{this is what you mean by number as not all cards have a}$
$\text{number, some are face cards.}$

$\text{So two cards are picked out and someone must guess suit and}$
$\text{rank of them. The odds for that are}$

2 * (1/30) * (1/29) = 1/435 = 0.0023 = 0.23 %

$\text{Explanation : we know it is not one of the flipped over cards, so}$
$\text{there are only 30 possibilities for the first card and 29 for the}$
$\text{second card. We multiply the chances and multiply by 2}$
$\text{because the order of the two cards does not matter, so guessing}$
$\text{the second card first and then the first is also right.}$

• 26 minutes ago
• 26 minutes ago
• 27 minutes ago
• 32 minutes ago
• 2 minutes ago
• 6 minutes ago
• 10 minutes ago
• 13 minutes ago
• 22 minutes ago
• 26 minutes ago
• 26 minutes ago
• 26 minutes ago
• 27 minutes ago
• 32 minutes ago