# Algebra 2

A biologist has determined that a particular osprey has a 70% chance of catching a fish on any given day. Carry out a simulation of 20 trials using the random number table below to find the probability that the osprey will actually catch a fish on all of the next three days. Explain your method.

945 025 354 793 236
106 746 981 105 012
832 180 250 871 835
793 726 864 496 947

A) Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 70%.
B) Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 65%.
C) Using the digits 0–6 to represent a caught fish, the probability of catching a fish on each of the next three days is 35%.
D) Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 7%.

I know it says to show my work, but I have no clue on how to do this. (Any hints would be awesome.)

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asked by Bob
1. 70% is .7.

Getting a fish on the next three days would be .7^3 which is .343.

Then count the numbers that have only 7 and below. There is 7 out of a total of 20. So 7/20 equals .35.

The answer is C.

Good luck!

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posted by Potato

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