In a game a spinner will land on red 45% of the time, yellow 15% of the time, and blue 40% of the time. If the spinner is spun three times, find the following probabilities 1. None of the spins are red

a) 909
b) 024
c) 091
d) .166
e) none of the above

2. The third spin is the first one that is blue.
a).064
b) 144
c) .081
d) .096
e)none of the above

3) At least one spin is yellow
a) .614
b) .003
c) .386
d) .027
e) none​

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

Suppose y varies directly with x. write a direct variation equation that relates x and y. then find the value of y when x=12 y=7 when x=3

Match the vocabulary to the proper definition. in probability, two events in which 1. conditional probability the outcome of one event is independent of the outcome of a second event. 2. dependent events in probability, two events in which the outcome of one event is dependent on the outcome of a second event. the probability of an event in which the outcome of the event is conditional on the outcome of one or more different events. 3. independent events