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Ashley is choosing a popsicle from the freezer at random the probability of her picking a grape popsicle is 3/8 the probability of her picking a cherry popsicle is 1/3 in the rest of the Popsicles are orange what is the likelihood of Ashley selecting an orange popsicle

Respuesta :

If an experiment has [tex]N[/tex] possible outputs, each with probability

[tex] P_1,\ P_2,\ldots,\ P_N [/tex]

then the sum of all probabilities is always one:

[tex] P_1 + P_2 + \ldots + P_N=1 [/tex]

So, in your case, you have

[tex] P(\text{grape}) + P(\text{cherry}) + P(\text{orange}) = 1 [/tex]

plugging in the given values:

[tex] \dfrac{3}{8} + \dfrac{1}{3} + P(\text{orange}) = 1 \iff \dfrac{17}{24} + P(\text{orange}) = 1[/tex]

we can deduce that

[tex] P(\text{orange}) = 1-\dfrac{17}{24} = \dfrac{7}{24}[/tex]

Answer:

Step-by-step explanation:

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