If a single letter is drawn from the set {m,a,t,h,e,i,c,s}
what is the probability that the letter drawn is a member
of the set {m,a,t,h}
Possible outcomes = 8
succesful outcome = 4
P({m,a,t,h}) = ?
number of possible outcomes = 8 (one for each letter)
number of successful outcomes = 4
P({m,a,t,h}) = ?
To find the probability of drawing a letter from the set {m,a,t,h} out of the set {m,a,t,h,e,i,c,s}, we need to determine the number of favorable outcomes (letters from {m,a,t,h}) and the total number of possible outcomes (letters from {m,a,t,h,e,i,c,s}).
Step 1: Determine the number of favorable outcomes:
The set {m,a,t,h} contains 4 letters. Therefore, the number of favorable outcomes is 4.
Step 2: Determine the total number of possible outcomes:
The set {m,a,t,h,e,i,c,s} contains 8 letters. Therefore, the total number of possible outcomes is 8.
Step 3: Calculate the probability:
The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. So, the probability is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 8
Probability = 0.5 or 50%
Therefore, the probability of drawing a letter from the set {m,a,t,h} out of the set {m,a,t,h,e,i,c,s} is 0.5 or 50%.