Chapter-4 DiscussionTwo events are independent events if the occurrence of one event does not affect the likelihood that the other event will occur. Two events are dependent events if the occurrence of one event does affect the likelihood that the other event will occur.Two events are disjoint or mutually exclusive or non-overlapping if they cannot occur at the same time. For example, if we flip a coin it can only show a head OR a tail, not both.Two events are overlapping if they can occur at the same time. For example, when you roll a six-sided die, you could simultaneously get an even number (Event-1) and a prime number (Event-2) (i.e. when you roll the die and get a 2). Therefore, events of getting a prime number and an even number are overlapping and NOT mutually exclusive. Consider a standard deck of 52 playing cards. A card is randomly chosen from a deck of 52 cards, replaced, and a second card is chosen.1. Would you say that the two draws are independent of each other i.e. are the outcomes on each of the two draws independent of each other? Why or Why Not?2. Suppose that after the first draw, the card drawn is not replaced in the deck. Would you say that the two draws are independent of each other i.e. are the outcomes on each of the two draws independent of each other? Why or Why Not?3. Consider the following three events as defined below:Event A: Drawing a SpadeEvent B: Drawing a KingEvent C: Drawing a Red Carda. Are events A and B Non-overlapping or Overlapping? Why or Why not?b. Are events A and C Non-overlapping or Overlapping? Why or Why not? Chapter-4 Discussion1. Two events are independent events if the occurrence of one event does not affect the likelihood that the other event will occur.2. Two events are dependent events if the occurrence of one event does affect the likelihood that the other event will occur.3. Two events are disjoint or mutually exclusive or non-overlapping if they cannot occur at the same time. For example, if we flip a coin it can onlyshow a head OR a tail, not both.4. Two events are overlapping if they can occur at the same time. For example, when you roll a six-sided die, you could simultaneously get aneven number (Event-1) and a prime number (Event-2) (i.e. when you roll the die and get a 2). Therefore, events of getting a prime number and aneven number are overlapping and NOT mutually exclusive.Consider a standard deck of 52 playing cards.59A card is randomly chosen from a deck of 52 cards, replaced, and a second card is chosen.1. Would you say that the two draws are independent of each other i.e. are the outcomes on each of the two draws independent of each other? Why orWhy Not?2. Suppose that after the first draw, the card drawn is not replaced in the deck. Would you say that the two draws are independent of each other i.e. arethe outcomes on each of the two draws independent of each other? Why or Why Not? Diamonds →→Clubs →Hearts →Spades →AAce↓✔1224Two↓23109Three↓Four↓HA:15Five↓☀☀Six↓SevenEight Nine↓↓There are 52 cards in a standard deck.There are 4 suits; Diamonds, Clubs, Hearts, Spades."Face Cards" include Jacks, Queens, and Kings.Black cards include all Clubs and Spades.Red cards include all Hearts and Diamonds.*There are 24 cards in a Euchre deck; Nine, Ten, Jack, Queen, King, and Ace of each suit.*10Ten↓Jack↓Queen↓King↓

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Chapter-4 DiscussionTwo events are independent events if the occurrence of one event does not affect the likelihood that the other event will occur. Two events are dependent events if the occurrence of one event does affect the likelihood that the other event will occur.Two events are disjoint or mutually exclusive or non-overlapping if they cannot occur at the same time. For example, if we flip a coin it can only show a head OR a tail, not both.Two events are overlapping if they can occur at the same time. For example, when you roll a six-sided die, you could simultaneously get an even number (Event-1) and a prime number (Event-2) (i.e. when you roll the die and get a 2). Therefore, events of getting a prime number and an even number are overlapping and NOT mutually exclusive.  Consider a standard deck of 52 playing cards.  A card is randomly chosen from a deck of 52 cards, replaced, and a second card is chosen.1. Would you say that the two draws are independent of each other i.e. are the outcomes on each of the two draws independent of each other? Why or Why Not?2. Suppose that after the first draw, the card drawn is not replaced in the deck. Would you say that the two draws are independent of each other i.e. are the outcomes on each of the two draws independent of each other? Why or Why Not?3. Consider the following three events as defined below:Event A: Drawing a SpadeEvent B: Drawing a KingEvent C: Drawing a Red Carda.  Are events A and B Non-overlapping or Overlapping? Why or Why not?b. Are events A and C Non-overlapping or Overlapping? Why or Why not? Chapter-4 Discussion1. Two events are independent events if the occurrence of one event does not affect the likelihood that the other event will occur.2. Two events are dependent events if the occurrence of one event does affect the likelihood that the other event will occur.3. Two events are disjoint or mutually exclusive or non-overlapping if they cannot occur at the same time. For example, if we flip a coin it can onlyshow a head OR a tail, not both.4. Two events are overlapping if they can occur at the same time. For example, when you roll a six-sided die, you could simultaneously get aneven number (Event-1) and a prime number (Event-2) (i.e. when you roll the die and get a 2). Therefore, events of getting a prime number and aneven number are overlapping and NOT mutually exclusive.Consider a standard deck of 52 playing cards.59A card is randomly chosen from a deck of 52 cards, replaced, and a second card is chosen.1. Would you say that the two draws are independent of each other i.e. are the outcomes on each of the two draws independent of each other? Why orWhy Not?2. Suppose that after the first draw, the card drawn is not replaced in the deck. Would you say that the two draws are independent of each other i.e. arethe outcomes on each of the two draws independent of each other? Why or Why Not? Diamonds →→Clubs →Hearts →Spades →AAce↓✔1224Two↓23109Three↓Four↓HA:15Five↓☀☀Six↓SevenEight Nine↓↓There are 52 cards in a standard deck.There are 4 suits; Diamonds, Clubs, Hearts, Spades.&#34;Face Cards&#34; include Jacks, Queens, and Kings.Black cards include all Clubs and Spades.Red cards include all Hearts and Diamonds.*There are 24 cards in a Euchre deck; Nine, Ten, Jack, Queen, King, and Ace of each suit.*10Ten↓Jack↓Queen↓King↓

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Two events are independent events if the occurrence of one event does not affect the…