Alego action figure is created for visitors that tour a factory. each figure consists of a randomly chosen set of legs, body, head, and hair/hat. the following table shows the available options for each category.

if each option is equally likely within each category what is the probability that the lego figure does not have blue legs but has a red body.

1/6

1/9

1/10

1/3

1/3

Step-by-step explanation:

P(red body AND not blue legs) = P(red body) × P(not blue legs)

P = (1/2) × (2/3)

P = 1/3

Step-by-step explanation:

From he given table,

Types of legs ( blue , red , black) = 3

Number of legs other than blue = 3-1=2

Types of body (red and blue) = 2

Probability that LEGO figure does NOT have blue legs :-

Similarly, Probability that LEGO figure has a red body :-

Since both the events are independent , then

Then probability that the LEGO figure does NOT have blue legs but has a red body will be :-

Hence, the correct answer is .

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%