Question

q14. the probability of drawing a red card is 3/8. how many red cards would you expect in 64 draws?

Explanation:

Step1: Recall expected - value formula

The expected - value formula for a binomial - like situation is $E(X)=n\times p$, where $n$ is the number of trials and $p$ is the probability of success in a single trial.

Step2: Identify values of $n$ and $p$

Here, $n = 64$ (the number of draws) and $p=\frac{3}{8}$ (the probability of drawing a red card in a single draw).

Step3: Calculate the expected value

$E(X)=n\times p=64\times\frac{3}{8}$
$64\times\frac{3}{8}=\frac{64\times3}{8}=\frac{192}{8}=24$

Answer:

24