Jerry and a group of friends have decided to set up an online game night for...

Jerry and a group of friends have decided to set up an online game night for this Wednesday. Most of the games they will play involve a standard deck of playing cards (52 card deck). As such, Jerry hopes to use what he's learning in statistics class to gain an upper hand.

**For reference, a standard deck of playing cards consists of 52 cards. Each card is one of the 4 suits: spade, heart, diamond, or club. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

If Jerry were to randomly draw one card from the entire deck, what is the probability he draws an ace? Let A equal the probability of this event.

If Jerry were to randomly draw one card from the entire deck (all 52 cards again), what is the probability he draws a card that is a heart? Let B equal the probability of this event.

What is Pr(A ∩ B)?

What would Bc represent?

Remember B is the probability of drawing a card that is a heart

Solutions

Expert Solution

Event A is probability he draws an ace

We know there are four Aces (Ace heart, Ace diamond, Ace spade, Ace club) in the deck

Event B is probability he draws a heart

We know that there are 13 hearts (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King)

So P(AB) is the probability that the drawn Ace is a heart

P(AB) = 1/52 (since in a deck of 52 cards, there is only card that is heart of Aces)

Event B is probability he draws a heart

so Bc would be probability that he doesn't draw a heart

There are 52 cards in deck, out of which 13 are hearts and other 39 are not hearts

So P(Bc) = 39/52 = 3/4

orchestra answered 1 year ago

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