Can do more trials? Like 8 more

In a standard deck of cards, there are 4 King-faced cards. You draw a card and record what the card is. Then you put the card back and afterwards you shuffle. Suppose you do the drawing and shuffling 4 times. What is the probability of drawing 2 King cards out of the 4 trials? * Probability of drawing a king card out from a standard deck. There are 4 king cards in a deck of cards. So, the success of drawing a king card is 4/52 or 1/13 *We have a 1 in 13 chance of drawing a king card, let that be p. So, the chance of failing is 1-(1/13)=12/13, and we'll call that q. *n is 4 because there are four trials in drawing shuffling deck of cards. Let x be the number of drawing a successful King faced card out of 4 trials. In this case, x =2. Binomial Distribution X ~ Bin(n, P) n = 4 P = 1/13 x = 2 P(X = X) = v 0.03025 0.8 0.6 P(X =X ) 0.4 02 00 0 3 N H = E(X) = 0.308 . = SD(X) = 0.533 02 = Var(X) = 0.284 Help @2021 Matt Bognar Department of Statistics and Actuarial Science University of lowa Calculating the probability of success in drawing 2 king cards out of 4 trials. WorldRemit P ( X = x ) = n ! * ! ( n-x ) ! P ( 1 -p) " * = 2 h = 4 P = /13 P ( * = 2 ) - (4 - 2)! 121) * ( 13 * / 12 42 26 ( ica ) ( in) P ( x = 2 ) = 0 0303 : therefore , the probability of successpully drawing 22k 2 king- pare cards at of 4 trials of drawing and reshuffling is 0.0303 or 3/0