Each trial consists of either tossing a fair coin or rolling a fair die. You startwith tossing the coin. As long as it turns out tails you will keep tossing it. The moment it turns outheads you will stop tossing it and start rolling the die. You continue rolling the die until you get a four or a five, then you start tossing the coin again. You keep applyingthe rules described above to change from tossing the coin to rolling the die and vice versa. What is the probability that on the third trial you will toss a coin

0.41665 = 41.665% probability that on the third trial you will toss a coin

Step-by-step explanation:

First trial: Toss the coin

The following outcomes end up with a coin being tossed on the third trial.

Tails on the first and second trial(each with 0.5 probability).

Heads on the first trial(0.5 probability) and 4 or 5 on the die on the second trial(6 sided die, so 2/6 = 1/3 = 0.3333 probability).

What is the probability that on the third trial you will toss a coin

0.41665 = 41.665% probability that on the third trial you will toss a coin

it could be a ..idk tho

- "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."