and diamond be mutually exclusiv? a) If we draw a card from an ordinary deck of 52 playing cards. Can king and diamond be mutually exclusive events? Give reason to support your answer.
b) A marble is drawn at random from a box containing 10 red, 30 white, 20 blue and 15 orange marbles.
Find the probability that the drawn marble is
i. orange or red
ii. not – ‘red or blue’
iii. not blue
iv. red, white or blue.
Answer of Question..a) If we draw a card from an ordinary deck of 52 playing cards. king and diamond cannot be mutually exclusive events because you can draw a card that is both a king and a diamond
b) A marble is drawn at random from a box containing 10 red, 30 white, 20 blue and 15 orange marbles.
total no. of marbles = 10+30+20+15 = 75
i. the probability that the drawn marble is orange or red =10+15/75 = 0.33
ii. the probability that the drawn marble is not – ‘red or blue’ =30+15/75 =0.6 iii. the probability that the drawn marble is not blue = 75-20/75= 0.733
iv. the probability that the drawn marble is red, white or blue =10+30+20/75 = 0.80
b) A marble is drawn at random from a box containing 10 red, 30 white, 20 blue and 15 orange marbles.
Find the probability that the drawn marble is
i. orange or red
ii. not – ‘red or blue’
iii. not blue
iv. red, white or blue.
Answer of Question..a) If we draw a card from an ordinary deck of 52 playing cards. king and diamond cannot be mutually exclusive events because you can draw a card that is both a king and a diamond
b) A marble is drawn at random from a box containing 10 red, 30 white, 20 blue and 15 orange marbles.
total no. of marbles = 10+30+20+15 = 75
i. the probability that the drawn marble is orange or red =10+15/75 = 0.33
ii. the probability that the drawn marble is not – ‘red or blue’ =30+15/75 =0.6 iii. the probability that the drawn marble is not blue = 75-20/75= 0.733
iv. the probability that the drawn marble is red, white or blue =10+30+20/75 = 0.80