A coin (H: heads; T: tails) is flipped and a number cube (1, 2, 3, 4, 5, 6) is rolled. List all the favorable outcomes for the event "rolling an even number." What is the probability of rolling an even number for this experiment?

Respuesta :

Answer:

0.5

Step-by-step explanation:

When a coin and a number cube((1, 2, 3, 4, 5, 6) are rolled, the sample space for this experiment is given below.

[tex]\left|\begin{array}{c|ccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\H&H1&H2&H3&H4&H5&H6\\T&T1&T2&T3&T4&T5&T6\end{array}\right|[/tex]

There are a total of 12 outcomes.

The favorable outcomes for the event "rolling an even number" are:

[tex]H2,H4,H6,T2,T4,T6[/tex]

Number of Favorable outcomes =6

Therefore, the probability of rolling an even number for this experiment

[tex]=\dfrac{6}{12}\\\\ =0.5[/tex]

Answer:

1.  These are all the favorable outcomes for the event "rolling an even number"

     H2, H4 , H6 , T2 , T4 , T6

2. Rolling an even number would have the theoretical probability of 50%

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