the letter tiles c, a, r, e, s are placed in a box. without looking, jorelle picks a letter tile from the…
the letter tiles c, a, r, e, s are placed in a box. without looking, jorelle picks a letter tile from the box and records the result before placing it back. if he repeats the procedure 100 times, how many times will the letter a tile be picked? (1 point)
Answer
Explanation:
Step1: Calculate probability of picking A
There are 5 letters in total, and 1 of them is A. So the probability $P(A)$ of picking A in one - draw is $P(A)=\frac{1}{5}$.
Step2: Calculate expected number of times A is picked
The number of trials $n = 100$. The expected number of times event A occurs is given by $E=n\times P(A)$. Substitute $n = 100$ and $P(A)=\frac{1}{5}$ into the formula: $E = 100\times\frac{1}{5}=20$.
Answer:
20