Tamara likes to mix and match her 4 scarves, 3 pairs of gloves, and 2 hats. The colors are in the table. On Monday, she randomly picks out a scarf, hat, and a pair of gloves. What is the probability of Tamara choosing a pair of brown gloves and a red hat?

Scarf:
Red
White
Brown
Black

Gloves:
Black
Brown
Red

Hat:
White
Red

1/4
1/8
1/10
1/6 *

Question

01-06-2017
Mathematics

contestada

Tamara likes to mix and match her 4 scarves, 3 pairs of gloves, and 2 hats. The colors are in the table. On Monday, she randomly picks out a scarf, hat, and a pair of gloves. What is the probability of Tamara choosing a pair of brown gloves and a red hat?

Scarf:
Red
White
Brown
Black

Gloves:
Black
Brown
Red

Hat:
White
Red

1/4
1/8
1/10
1/6 *

Respuesta :

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BlueSky06 BlueSky06 · Answer 1 · 2017-06-14T20:27:46+02:00

We will use the rule of multiplying the probability of the first event by the probability of the second event to find the probability of Tamara choosing a pair of brown gloves and a red hat, P(A and B) = P(A) * P(B)

In choosing a pair of brown gloves:
*Number of favorable outcome = 1*Number of all possible outcome = 3
The probability of choosing a pair of brown gloves is 1/3, P(A) = 1/3

In choosing a red hat:
*Number of favorable outcome = 1*Number of all possible outcome = 2

The probability of choosing a red hat is 1/2, P(B) = 1/2

P(A and B) = P(A) * P(B)
P(A and B) = (1/3)(1/2)
P(A and B) = 1/6

The probability of choosing a brown gloves and a red hat is 1/6