Answer:
0.495 probability that Jim and Molly take counters of different colours
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either a blue counter is picked, or a red counter is picked. The counter is put back in the bag after it is taken, which means that we can use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The probability that the counter is red is 0.45
This means that
Jim taken a counter, then Molly:
Two trials, so
What is the probability that Jim and Molly take counters of different colours?
One red and one blue. So this is P(X = 1).
0.495 probability that Jim and Molly take counters of different colours