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Jan's jewelry box has two drawers. One drawer contains 3 pairs of rhinestone earrings and 2 pairs of diamond earrings. The other drawer contains 2 gold bracelets and 3 silver bracelets. If Jan randomly draws one item from each drawer, what is the probability she draws diamond earrings and a silver bracelet?

Respuesta :

[tex]\text{ Answer:}P(\text{ getting diamond earrings and silver bracelet})=\frac{6}{25}[/tex]

Step-by-step explanation:

Since we have given that

In first drawer,

Number of pairs of rhinestone earrings =3

Number of pairs of diamond earrings = 2

So,

[tex]P(\text{ getting a diamond earrings})=\frac{2}{5}[/tex]

In second drawer,

Number of gold bracelets = 2

Number of silver bracelets =3

So,

[tex]P(\text{ getting a silver bracelets})=\frac{3}{5}[/tex]

Now, we need to calculate probability she draws diamond earrings and a silver bracelets is given by

[tex]P(\text{ getting diamond earrings and silver bracelet})\\\\=\frac{2}{5}\times \frac{3}{5}\\\\=\frac{6}{25}[/tex]

Answer: 6/25 is your answer

Step-by-step explanation:

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