Question

Question 13 5 pts A simple game is being played using a standard deck of 52 cards. Half the cards are red and half are black. The game begins with a full deck. The first card flipped over is the king of diamonds (red card). The next card flipped over is the four of hearts (red card). A third card is flipped over showing a seven of diamonds (red card). A gambler places a bet that the next card will also be red, remembering that random events can exhibit streaks and red is now hot Is this a smart bet? Explain why or why not. BI YA HTML Editora I* E ? 11xx, √x DC 12pt

Answer 1

We are given here that:
First card: King of diamonds
Second card: Four of hearts
Third card: seven of diamonds

As all diamonds and hearts are red cards, therefore we are left with 26 - 3 = 23 cards here.

The probabiltiy of getting the next card drawn as the red card is computed here as:
= Number of red cards left / Total cards left

= 23 / 49

= 0.4694

As the probability here is P(red) = 0.4694 < P(black) = 1 - P(red), therefore this is not a smart bet here.