Decide whether the two events are disjoint and tell why or why not:

• randomly drawing a jack from a standard deck of cards

• randomly drawing an ace from a standard deck of cards

Disjoint, because the events can occur at the same time.

Not disjoint, because the events can occur at the same time.

Not disjoint, because the events cannot occur at the same time.

Disjoint, because the events cannot occur at the same time.

Question

Mathematics

Alyvia Cain

5 February, 22:08

Decide whether the two events are disjoint and tell why or why not:

• randomly drawing a jack from a standard deck of cards

• randomly drawing an ace from a standard deck of cards

Disjoint, because the events can occur at the same time.

Not disjoint, because the events can occur at the same time.

Not disjoint, because the events cannot occur at the same time.

Disjoint, because the events cannot occur at the same time.

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Answers (1)

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Amber Hahn · Answer 1

Disjoint, because the events cannot occur at the same time.

Step-by-step explanation:

disjoint events are mutually exclusive events.

if a and b are two events then a intersection b will be 0. they cannot occur at the same time.

here in the given problem let the event A be randomly drawing a jack from a standard deckn of card and evnt B be randomly drawing an ace from a standard deck of card.

since in a same card jack and ace cannot occur they are disjoint events.

therefore randomly drawing a jack from a standard deck of cards and randomly drawing an ace from a standard deck of cards are disjoint events because the events cannot occur at the same time.