A box contains 4 red and 3 blue chips. What is the probability when 3 chips are selected randomly that all 3 chips will be red if select chips with replacement?

User Icon for Ms. Sue Ms. Sue answered
15 years ago

Please note that your School Subject is NOT college. It's probably Math or Probability or Statistics.

User Icon for economyst economyst answered
15 years ago

Since it is with replacement, (4/7)*(4/7)*(4/7)

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the probability of selecting all three red chips when selecting with replacement, we need to find the probability of selecting one red chip, then multiply it by itself two more times.

First, let's find the probability of selecting one red chip.

The total number of chips in the box is 4 red chips + 3 blue chips = 7 chips in total.

The probability of selecting one red chip is the number of red chips divided by the total number of chips: 4 red chips / 7 chips = 4/7.

Now, to find the probability of selecting all three red chips, we multiply the probability of selecting one red chip by itself two more times.

So, the probability of selecting all three red chips with replacement is (4/7) * (4/7) * (4/7).

Let's calculate it: (4/7) * (4/7) * (4/7) = 64/343.

Therefore, the probability of selecting all three red chips when selecting with replacement is 64/343.