A fish bowl contains blue, green and red plastic fish.
When a fish is picked out at random, the probability of it being blue is 0.7 and the probability of it being green is 0.2.
A prize is given if a red fish is picked out.
What is the probability of Matt picking a red fish? (Give your answer as a decimal.)
There are 60 fish in the fish bowl. How many of the fish are red?
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ANSWER :
There is a 70% probability when the fish is blue
And, 20% probability when the fish is green.
Here we assume p be the probability in the case when the fish is red.
So,
Here the sum of probabilities should be 100% i.e. equal to 1.
The following calculation is to be done
0.7 + 0.2 + p = 1
0.9 + p = 1
So,
p = 0.1
Now for the red one it should be
= 60 (0.1)
= 6
Hence, The probability of Matt at the time of picking a red fish is 0.1.
And, The number of fish that should be red is 6.
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