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in the game of Between,\"two cards are dealt from a standard deck and not replac

ID: 3114058 • Letter: I

Question

in the game of Between,"two cards are dealt from a standard deck and not replaced You then pick a thrd card from the deck To win, you must pick a card that has a value between the other two cards The order of values is 2, 3, 4, 5,6,7,8,9,10, J, Q K A, where the lefters represent a jack, queen, king, and ace, respectively. Determine the probabilty of your winning if the first two cards dealt are a 10 and a queen The probablity of your wrnrg, gen a 10 and a queen, ts (Type an integer or a simplified fraction)

Explanation / Answer

Given the cards are drawn from a standard deck.

Which consists 52 cards.

As the game is of between.

The card should be drawn which is between of 2 cards which are drawn first.

The initially drawn cards are 10 and Q without replacement.

The card which lies between them is J

We have four different of J's

i.e; spade,diamond,flower and club.

Without replace ment of frst 2 cards the cards remaining are 52 - 2 = 50

Hence probability of drawing J is 4/50

= 2/25

=0.08