Question 1 :A random card is drawn from a deck of playing cards. what is the probabily that the card is face card, heart card, or queen? Question 2: Two unbiased dices are thrown at a time, what is the probability of getting two even numbers, given that there is at least one even number? Question 3: A box contains 25 balls,15 green and 10 red balls. Two balls are picked up, what is the probability that the first is green and second is red? Question 4:Two unbiased dices are thrown simultaneously. Let A denote the event that the sum is 8 and B the event that the two are same. Find P(A),P(B),P(A intersection B) and P(A union B )

Step-by-step explanation:

a) the probability of getting any specific card is 1/52.

the cards that will fufill the question are face cards, hearts, or queens.

the total number of these cards are

face cards: 12

hearts: 13 - 4 = 9

queens: already factored in

total is 21 cards

21/52=0.4

there is a 40% chance of getting one of these cards

b) there are 9 possible 2 even number combos with 2 dice, out of a possible 36.

9/3=0.25

there is a 25% chance of getting 2 even numbers.

c) there are 25 balls total.

there is a 15/25 chance of getting green, which is 0.6

there is a 10/25 chance of getting red, which is 0.4

multiply these by each other to get 0.24

there is a 24% chance

d) i am sorry, i don't know the answer to this one. hope the other answers helped :)

55/i dont know i do it for the points

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this