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 :)

10 * 563.67 = 5636.7

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²