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What is the probability of rolling a number less than 5 on a number cube and then spinning an even number on a spinner divided into 8 equal sectors numbered 1 through 8? Enter your answer, as a simplified fraction, in the boxes.

Respuesta :

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The probability of rolling a number less than 5 on a dice and then spinning the spinner would be 2/3 * 4/8(half the numbers on the spinner are even), so we get
and 8/24 possibility, which would simplify to 
1/3.

Hope this helps!

Answer:

1 ÷ 3 or 0.3333

Step-by-step explanation:

The Sample Space of rolling a number less than 5 on a number cube is {1, 2, 3, 4}.

Since we have total possible sample = 6

Probability of number less than 5 on a cube = [tex]\frac{4}{6}[/tex]

Similarly we have 4 even numbers between 1 to 8.

Probability of Spinning an even number on a spinner = [tex]\frac{4}{8}[/tex]

Hence, Total probability of Rolling a number less than 5 on a cube and then spinning an even number on a spinner = [tex]\frac{4}{6}\times\frac{4}{8}[/tex] 

[tex]= \frac{2}{3}\times\frac{2}{4}[/tex]

[tex] = \frac{4}{12} = \frac{1}{3} = 0.33 [/tex]