You have a bag with 4 pairs of socks. there are 2 red pairs and 2 black pairs. you pull a sock from the bag and put it back 3 times. what is the probability that you pull out a red sock each time?

Total Number of socks = 4 pairs= 8 socks
Number of red socks = 4
Number of black socks = 4

Probability of pulling a red sock from the bag the first time =  

Since the sock is placed back in the bag before pulling a sock again, the number of socks remains the same.

So,

Probability of pulling a red sock from the bag the second time =  

And

Probability of pulling a red sock from the bag the third time =  

Therefore, the probability of pulling a red sock 3 times from the bag = 

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )