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 probability of drawing yellow - flower card

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

Step2: Calculate expected number of draws

The number of trials $n = 120$. The expected value $E$ of the number of times a yellow - flower card is drawn is given by the formula $E=n\times P$. Substitute $n = 120$ and $P=\frac{3}{8}$ into the formula: $E = 120\times\frac{3}{8}=45$.

Answer:

45