intersection

There are 30 students in a classroom. Eighteen students read A Wrinkle in Time while 22 children read The Hobbit. If all children read at least one of the books, how many read both books? 30 - 18 = 12 students read the Hobbit only 30 - (12 + 8) = 10 students who read both

assume your math class has 10 sophomores and 7 juniors. there are 3 female sophomores and 4 male juniors. what is the probability of randomly selecting a student who is a female or a junior Sophomores: 10 sophomores: 3 female male = 10 - 3 = 7 Juniors: 7 juniors 4 males female = 7 - 4 = 3...

A spinner has 3 equal sections labelled A, B, C. A bag contains 3 marbles: 1 grey, 1 black, and 1 white. The pointer is spun and a marble is picked at random. a) Use a tree diagram to list the possible outcomes. A, Grey A, Black A, White B, Grey B, Black B, White C, Grey C, Black C, White...

Refer to a bag containing 13 red balls numbered 1-13 and 5 green balls numbered 14-18. You choose a ball at random. a. What is the probability that you choose a red or even numbered ball? b. What is the probability you choose a green ball or a ball numbered less than 5? a. The phrase or in...

If set A ={1,2,3,4} and B={2,4,6,8}, what is A intersect B Using our set notation calculator, we get: A intersect B = {2, 4}

If n(A)=1200, n(B)=1250 and n(AintersectionB)=320, then n(AUB) is We know that: n(AUB) = n(A) + n(B) - n(AintersectionB) Plugging in our given numbers, we get: n(AUB) = 1200 + 1250 - 320 n(AUB) = 2130

Let A and B be independent events with P(A) = 0.52 and P(B) = 0.62. a. Calculate P(A ∩ B). With independent events, the intersection probability is found by: P(A ∩ B) = P(A) * P(B) P(A ∩ B) = 0.52 * 0.62 P(A ∩ B) = 0.3224

(A intersection B) U (A intersection B') This is the Universal Set U. Everything that isn't A and isn't B is everything else.

There are 100 people in a sport centre. 67 people use the gym. 62 people use the swimming pool. 56 people use the track. 38 people use the gym and the pool. 31 people use the pool and the track. 33 people use the gym and the track. 16 people use all three facilities. A person is selected...

45 students, 12 taking spanish, 15 taking chemistry, 5 taking both spanish and chemistry. how many students are not taking either? Let S be the number of students taking spanish and C be the number of students taking chemistry: We have the following equation relating unions and intersections...

10 students play tennis, 5 students play soccer, and 4 students play both. How many students are in the class? We want Tennis + Soccer - Both 10 + 5 - 4 11 students in the class

Out of 53 teachers 36 drink tea 18 drink coffee, 10 drink neither. how many drink both? Let T be tea drinkers Let C be coffee drinkers Let (T & C) be Tea & Coffee drinkers. And 53 are total. So we use the Union formula relation: C U T = C + T - (C & T) 53 = 18 + 36 - (C & T) C & T = 53 - (Not...

A = { 0 , 2 , 4 , 6 , 8 } B = { 0 , 1 , 2 , 3 , 4 , 5 , 6 } C = { 4 , 5 , 6 , 7 , 8 , 9 , 10 } Find ( A ∪ B ) ∩ C A U B is everything in A and B A U B = {0, 1, 2, 3, 4, 5, 6, 8} ( A ∪ B ) ∩ C means everything in both ( A ∪ B ) and C ( A ∪ B ) ∩ C = {4, 5, 6, 8}

A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1, 5, 6, 7, 9} A ∩ (B ∩ C) = B ∩ C = {6} A ∩ (B ∩ C) = {} or the empty set

26 students 15 like vanilla 16 like chocolate. 3 do not like either flavour. How many like both vanilla and chocolate Define our people: We have Vanilla Only Chocolate Only Both Vanilla and Chocolate Neither Vanilla Nor Chocolate Add up 1-4 to get our total Total = Vanilla Only + Chocolate...

P(A U B) = P(A) + P(B) - P(A intersection B) 100 = 72 + 52 - P(A intersection B) P(A intersection B) = 72 + 52 - 100 P(A intersection B) = P(who ate at A and B) = 24