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Question 22: 4 pts Find the probability of rolling a 4 on a number cube and then choosing a red ball at random from a bag of 8 blue and 6 red balls.​

Sagot :

Answer:

1/14

Step-by-step explanation:

a four out of possible   6 rolls   = 1/6

6 red out of 14 balls      6/14

1/6  * 6/14 = 1/14

The Probability of rolling a 4 on a number cube and then choosing a red a ball at random is 1/14.

What is Probability?

Probability is "possibility that deals with the chance of occurrence of random event" .

According to the question,

A cube has 6 faces that is  (1,2,3,4,5,6). Total number of faces n(s) = 6.

Probability formula = (Number of favorable event)/(Total number of event).  

Probability of taking 4, P(4) = 1/6.

A bag containing 8 blue and 6 red balls. Total number of balls in a bag n(s) = 14.

Probability of taking red balls P(red balls) = 6/14.

In order to find that probability of rolling a 4 on a number cube and then choosing a red a ball at random only if multiply P(4) by P(red balls).

P(4) × P(red balls) = [tex]\frac{1}{6}[/tex] × [tex]\frac{6}{14}[/tex] = [tex]\frac{1}{14}[/tex].

Hence,  probability of rolling a 4 on a number cube and then choosing a red a ball at random is 1/14.

 

Learn more about Probability here

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