3. Niyat is a gambler and regularly plays several rounds of a gamble in which he wins $3,000 if even number of dots face up when a fair die is rolled twice and loses $1,000 for any other outcome from the two rolls of the die. In other words, the outcome of the gamble is determined by rolling a die twice on each round of the gamble and Niyat wins only if even number of dots show up on top in both rolls of the die and loses if any other outcome occurs. Niyat is considering playing 25 rounds of such a gamble next week hoping that she will win back the $1,500 she lost in a similar gamble last week. If we let X represent the number of wins for Niyat out of the next 25 rounds of the gamble, X will have the binomial probability distribution