A six-sided fair die is rolled and a fair coin is tossed. If event M represents getting an odd number on the die and event N represents landing tails on the coin, are these two events dependent or independent? The two events are _. In the given scenario, P(M and N) =__ . HELP!

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08-03-2016
Mathematics

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A six-sided fair die is rolled and a fair coin is tossed. If event M represents getting an odd number on the die and event N represents landing tails on the coin, are these two events dependent or independent? The two events are _. In the given scenario, P(M and N) =__ . HELP!

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Kalahira Kalahira · Answer 1 · 2018-06-14T10:08:27+02:00

Answer:

The two events are independent. In the given scenario, P(M and N) =0.25

Explanation:

1) Independent events are those that do not affect each other. In this case the number that you roll does not change the flip of the coin. So, whatever number you get with the die, the probabilities of landing tail or head when tossing the coin are the same.

2) The probability of the two simultaneous events: getting an odd number and landing a tail, since they are independent, is equal to the product of the two independent events:
P(M and N) = P(M) x P (N) (only because they are independent)

3) The probability of getting and odd number is 0.5 (half of the numbers are odd and half are even => probability = 1/2)

4) The probability of the coin lands tail is 0.5 (1/2).

5) Then the joint probability is 0.5 x 0.5 = 0.25

kcaty83 kcaty83 · Answer 2 · 2020-11-11T19:28:29+01:00

kcaty83 kcaty83

11-11-2020

Answer:

Answer 1: The two events are Independent

Answer 2: In the given scenario, P(M and N) = P(M)*P(N)

Step-by-step explanation:

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A six-sided fair die is rolled and a fair coin is tossed. If event M represents getting an odd number on the die and event N represents landing tails on the coin, are these two events dependent or independent? The two events are _____. In the given scenario, P(M and N) =______ . HELP!

Respuesta :

Otras preguntas

A six-sided fair die is rolled and a fair coin is tossed. If event M represents getting an odd number on the die and event N represents landing tails on the coin, are these two events dependent or independent? The two events are _. In the given scenario, P(M and N) =__ . HELP!