Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a six and then selecting a five.

Step-by-step explanation:

In a standard deck of 52 playing cards, there are 4 variations of every number. These would be 1 of Spade , 1 of Heart , 1 of Clubs , and 1 of Diamonds. Therefore the possibility of getting one of these numbers is 4/52. In order to find the probability of selecting a six and then selecting a five in consecutive order, we need to multiply the probability of selecting the six by the probability of selecting a five.

Therefore, the probability of this happening would be

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."