Calculate the probability of completing a straight if you have 4 cards that are in sequence. Do this both for the standard case of one deck of cards, or the casino case of an infinite supply of cards.

(A) Prob of getting straight (given scenario) = 0.166667

(B) Prob of getting straight (Casino scenario) = 0.153846

Step-by-step explanation:

Probability of getting straight when standard deck of card

Since we 4 cards are already drawn, number of cards in the deck = 48

There are 8 possible cards in the deck to complete straight

Eg . if you have 4,5,6 & 7 then there are four 3’s and four 8’s in the deck that can complete straight.

Prob of getting straight (given scenario) = #of possible cards/# total number of remaining cards

= 8/48

=0.166667

Prob of getting straight (given scenario) = 0.166667

Probability of getting straight when casino case (infinite supply of cards)

Since we have infinite cards in supply, number of cards in the deck = 52

Number of cards in hand that doesn’t matter here.

There are still 8 possible cards in the deck to complete straight

Prob of getting straight (Casino scenario) = #of possible cards/# total number of remaining cards

= 8/52

=0.153846

Prob of getting straight (Casino scenario) = 0.153846