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What is the probability of choosing a recheck at first and then choosing a red card with a replacement

What Is The Probability Of Choosing A Recheck At First And Then Choosing A Red Card With A Replacement class=

Sagot :

Since there are 25 cards in the deck

Since there are 4 jacks on it 2 red and 2 black

Since the probability of an event = outcomes of events/total outcomes

Then for the first card

There are 2 red jacks for a total of 52 cards

[tex]P(r.j)=\frac{2}{52}=\frac{1}{26}[/tex]

For the second card with NO replacement

Since there are 26 red cards in the deck

Since we took out one of them for the first card, then

There are 25 red cards

Since the total is less by 1 because of the first card, then

There are 51 cards

[tex]P(r)=\frac{25}{51}[/tex]

Since and in probability means multiply, then

[tex]P(r.j&r)=\frac{1}{26}\times\frac{25}{51}=\frac{25}{1326}[/tex]

The answer is the 3rd choice 25/1326

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