Question

Hannah’s favorite toy character is sold wearing one of many outfits. An outfit consists of one shirt, one pair of pants, and one cap. The shirt can be striped, plain, or polka-dotted. The pants may be denim or plaid. The cap may be a cowboy hat or a baseball cap. If Hannah picks a toy at random from the shelf and there are an equal number of toys wearing each outfit, what is the probability that the toy is dressed in a polka-dotted shirt and a cowboy hat?

Answer 1

Answer:

16.67% or $\frac{1}{6}$

Step-by-step explanation:

According to the description of Hannah's favorite to it has 3 different style shirts , 2 different style pants, and 2 different style caps. In other words she has the following probabilities

$\frac{1}{3}$ of a toy having a specific shirt

$\frac{1}{2}$ of a toy having a specific pants style

$\frac{1}{2}$ of a toy having a specific cap style

To find the probability of Hannah picking out a toy that is dressed in a polka-dotted shirt and cowboy hat we would need to multiply the probability of the toy having that shirt with the probability of the toy having those pants.

$\frac{1}{3} *\frac{1}{2} =\frac{1}{6}$

$\frac{1}{6} = 0.1667$

So now we can see that the probability of Hannah choosing a toy with that shirt and cap are of 16.67%

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Answer 2

Or 1 over 6 
Or about 17%

hopes this helps