Question

one card is drawn and replaced 120 times. how many times would you expect a yellow - flower card to be drawn? ? times

Explanation:

Step1: Calculate the probability of drawing a yellow - flower card

There are 8 cards in total, and 3 of them are yellow - flower cards. So the probability $P$ of drawing a yellow - flower card in a single draw is $P=\frac{3}{8}$.

Step2: Calculate the expected number of times

The formula for expected value $E$ in a binomial experiment (repeated independent trials) is $E = n\times P$, where $n$ is the number of trials. Here, $n = 120$ and $P=\frac{3}{8}$. So $E=120\times\frac{3}{8}=45$.

Answer:

45