Denise rolls a number cube that has sides labeled 1 to 6 and then flip the coin what is the probability that she rolls an odd number and flips heads

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darkhalfsp7g4pi darkhalfsp7g4pi · Answer 1 · 2018-05-02T23:46:22+02:00

Odd number for dice: 3/6
heads: 1/2

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ashutoshmishra3065 ashutoshmishra3065 · Answer 2 · 2022-05-08T09:56:51+02:00

The probability of getting an odd number in dice and flips heads in the coin toss is [tex]\dfrac{1}{4}[/tex]

The ratio of the favorable outcome to the total outcomes gives probability.

Favorable outcome in the dice for the odd outcome is [tex]{1,3,5}[/tex] i.e., 3.

So, the probability of getting an odd number is-

[tex]P_1=\dfrac{3}{6}\\=\dfrac{1}{2}[/tex]

Now, the probability of getting a head in the toss is-

[tex]P_2=\dfrac{1}{2}[/tex]

So, the overall probability of getting an odd number in dice and flips heads in the coin toss is-

[tex]P=P_1\times P_2\\=\dfrac{1}{2}\times \dfrac{1}{2}\\=\dfrac{1}{4}[/tex]

Thus, the probability of getting an odd number in dice and flips heads in the coin toss is [tex]\dfrac{1}{4}[/tex].

Learn more about probability here- https://brainly.com/question/11234923

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