one card is drawn and replaced 200 times. how many times would you expect the red flower card to be drawn…

one card is drawn and replaced 200 times. how many times would you expect the red flower card to be drawn? ? times

one card is drawn and replaced 200 times. how many times would you expect the red flower card to be drawn? ? times

Answer

Explanation:

Step1: Calculate probability of drawing red - flower card

There are 8 cards in total and 1 red - flower card. The probability $P$ of drawing the red - flower card in a single draw is $P=\frac{1}{8}$.

Step2: Calculate expected number of draws

The number of trials $n = 200$. The expected value $E$ of the number of times the red - flower card is drawn is given by the formula $E=n\times P$. Substitute $n = 200$ and $P=\frac{1}{8}$ into the formula: $E = 200\times\frac{1}{8}=25$.

Answer:

25