Question

4. Places the letters in the word OCTOBER into a bag. What is the probability of Destini selecting a B and

then an O without replacement?

​

Answer 1

The word OCTOBER has 7 letters. The probability of Destini selecting a B on the first draw is 1/7, since there is only one B in the bag. After the B is drawn, there are 6 letters left in the bag. The probability of Destini selecting an O on the second draw is 2/6, since there are two Os in the remaining letters.

Since these two events are independent, we can multiply their probabilities to find the probability of both events happening. So, the probability of Destini selecting a B and then an O without replacement is (1/7) * (2/6) = 1/21.

Explanation: