Question

1.) Determine whether the following individual events are overlapping or​ non-overlapping. Then find the probability of the combined event.

-Getting a sum of either 2 or 5 on a roll of two dice

2.) Use the​ "at least​ once" rule to find the probabilities of the following event.

Getting at least one head when tossing four fair coins. (What is the probability)

3) Determine the probability of having 1 girl and 3 boys in a 4​-child family assuming boys and girls are equally likely.  

The probability of having 1 girl and 3 boy is

4.) Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.

Drawing three jacks in a row from a standard deck of cards when the drawn card is not returned to the deck each time

-The event of drawing a jack and the event of drawing a jack the next time are Independent or dependent

-The probability of drawing three jacks in a row from a standard deck of cards when the drawn card is not returned to the deck each time is?

Answer 1

non- overlapping are Solutions : two events when P(A B) P(A) + P(B). two dice total 36 outcomes when rolling 7 possible. {(1,1)] sum 2 * events having p(sum 2) 1 / 1 36 events having + sum s{ (1,4), (1,1), (2,3), (3, 2)} Plsum 5) 4 36

Since elements in both events we can clearly say that events different, -overlapping ! are non Plcombined event) - Pla s) ? events having Sum 2, or sums E C.), 0,4),( 1,2,3), (31)} 5 P( sum 2 or 5) ร 36 P (combined event) hlm 36 clearly P(sum sum 2 or = m5) Plsum a) +. P(sums) => Non - overlapping events!