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In a game you roll and even number on a die and then spins a spinner numbered 1 through 5 and get and odd number what are independent or dependent

In a game you roll and even number on a die and then spins a spinner numbered 1 through 5 and get and odd number what are independent or dependent class=

Respuesta :

2 events are said to be independent when the occurrence of one event doesn't affect the occurrence of the other.

1) Example the event of rolling a die and getting an even number and spinning a spinner and getting an odd number are 2 INDEPENDENT events

Sample size of die ={1,2,3,4,5,6} = all possible outcomes
Sample size spinner={1,2,3,4,5}  = all possible outcomes

Sample size of event rolling an event number={2,4,6} =3 = favorable event
Sample size of event spinning an odd number={1,3,5} =3= favorable event

P( rolling even number AND getting an odd in the spinner) = (1/2).(3/5) =0.3

2) Sample size ={ 52 cards} = all possible outcomes
Sample size of event drawing an Ace = { 4 Aces} = 4
P(drawing 1st Ace) = 4/52
P(drawing a 2nd Ace without replacing the 1st) =3/51 (Since 1 ace has already been drawn (remaining 3) and 1 Ace less
means 1 card less =52-1 = 51
P(drawing1 Ace AND another Ace WITHOUT REPLACEMENT) =
(4/52).(3/51) = 1/221 = 0.00452.
We notice I this example that the 1st Event DID AFFECT the occurrence of the second, hence I this case the Events are DEPENDENT

In a game you roll and even number on a die and then spins a spinner numbered 1 through 5 and get and odd number- Independent Event

An ace is drawn without replacement from a deck of 52 cards. Then, a second ace is drawn -Dependent Event

What is Independent event?

When two events are independent, one event does not influence the probability of another event.

What are Dependent event?

Two or more events that depend on one another are known as dependent events. If one event is by chance changed, then another is likely to differ.

According to question, we have to determine if events are independent or dependent.

In a game you roll and even number on a die and then spins a spinner numbered 1 through 5 and get and odd number. These are independent events since rolling a die and spinning the spins does not depends on each other.

An ace is drawn without replacement from a deck of 52 cards. Then, a second ace is drawn. These are dependent event since second event depend upon first.

Hence, we can conclude that  In a game you roll and even number on a die and then spins a spinner numbered 1 through 5 and get and odd number is Independent Event.

An ace is drawn without replacement from a deck of 52 cards. Then, a second ace is drawn is Dependent Event.

Learn more about   Independent Event here:

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