Question

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. chris is playing a card game with his friends. the game uses only the four aces from a standard deck of cards. for each move, a player draws one card, replaces it, and then draws the second card. the probability that a player draws two cards of the same color is . the probability that a red ace is drawn first and then a black ace is

Answer 1

The probability that a red ace is drawn first and then a black ace is mathematically given as

x=1/4

What is the probability that a red ace is drawn first and then a black ace?

Where

Sample mean=(x,y)\, x, y \in \{h,d,c,s\}

If we want a player to draw two cards of the same color from their deck, the following combinations of cards are appropriate choices:

$(h,h),\ (h,d),\ (d,h),\ (d,d),\ (c,c),\ (c,s),\ (s,c),\ (s,s)$

Generally, 8 possible pairings above 16. This indicates that the likelihood of a player drawing two cards of the same color is 8/16, which is equivalent to a probability of half.

In conclusion, In a similar vein, the following pairs of cards illustrate the likelihood of obtaining a black ace after having drawn a red ace in the previous round:

$(h,c),\ (h,s),\ (d,c),\ (d,s)$

Giving

x=4/16

x=1/4

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