Suppose you write the letters M-I-S-S-I-S-S-I-P-P-I on cards and mix them in a hat. You choose one card from the hat without looking.
What is the probability of picking a P?
A.4\11
B.2\11
C.4\7
D.7\4
Is the answer B?
Thank you
Yes it is
B
Yes, the probability of picking a P from the hat is 2/11 or 0.1818.
To determine the probability of picking a specific letter from a set of cards, we need to know two things:
1. The total number of cards in the hat.
2. The number of cards that have the specific letter we're interested in.
Let's break down the problem step by step:
Step 1: Count the total number of cards in the hat.
In this case, we have the letters M, I, S, S, I, S, S, I, P, and P. So, there are 10 cards in total.
Step 2: Count the number of cards with the letter "P."
There are two cards with the letter "P."
Step 3: Calculate the probability.
The probability of picking a specific card is determined by dividing the number of favorable outcomes (cards with the letter "P") by the total number of possible outcomes (total number of cards in the hat).
So, the probability of picking a P is 2/10. This can be simplified as 1/5.
Comparing the simplified fraction to the answer choices:
A. 4/11
B. 2/11
C. 4/7
D. 7/4
The answer is indeed B. 2/11.
Therefore, the correct answer is B.