You roll two fair dice: a green one and a red one. a. Find P (1 on the green die

Question

You roll two fair dice: a green one and a red one. a. Find P (1 on the green die and 2 on the red die). b. Find P (2 on the green die and 1 on the red die). c. Find P (1 on the green die and 2 on the red die) or (2 on the green die and 1 on the red die) You draw 2 cards from a standard deck of 52 cards without replacing the first one before drawing the second. a. Find P (3 on the 1st card and 10 on 2nd) b. Find (10 on 1st card and 3 on 2nd) c. Find the probability of drawing a 10 and a 3 in either order. In a small, rural community in West Virginia those adults seeking work or having work were classified as follows: Suppose that a person is chosen at random from those seeking work or having work. Let M = event this person is a man W = event this event is a woman, U = event this person is unemployed, and E = event this person is employed. a. Compute P(U), P(U, given M), P(U, given W). b. Compute P(E), P(E, given M), P (E, given W). c. Compute P(M), P(M, given E), P(M, given U). d. Compute P(W), P(W, given E), P(W, given U). e. compute P(M and E), P(W or U).

Explanation / Answer

1. a) P(1 on the green die and 2 on the red die)

Since outcomes of green and red dice are independent.

P(1 on the green die and 2 on the red die)

= P(1 on the green die) * P(2 on the red die)

= (1/6) * (1/6)

= 1/36

b) P(2 on the green die and 1 on the red die)

Since outcomes of green and red dice are independent.

P(2 on the green die and 1 on the red die)

= P(2 on the green die) * P(1 on the red die)

= (1/6) * (1/6)

= 1/36

c) P(1 on the green die and 2 on the red die) or P(2 on the green die and 1 on the red die)

= P(1 on the green die and 2 on the red die) + P(2 on the green die and 1 on the red die)

= 1/36 + 1/36

= 2/36

= 1/18

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.