Question

19. Seven cards; the eight, the nine, the ten, jack, queen, king and ace of diamonds are well shuffled.
One card is then picked up at random.
1 What is the probability that the card drawn is the eight or the king ?
(2) If the king is drawn and put aside, what is the probability that the second card picked up is
(a) an ace?
(b) a king?​

Answer 1

Answer:

1 . 2/7

2)

a) 1/6

b) 0

Step-by-step explanation:

1. Given total number of cards = 7 = N(s)

(the eight, the nine, the ten, jack, queen, king and ace of diamonds)

let the event be getting a card either eight or The king . so the number of favourable outcome is

N(A) = 2

therefore, probability of that card drawn is the eight or the king P(s) = N(A)/ N(s)= 2/7

2. if the king is drawn and put aside,

total number of cards are six

therefore N(s) = 6

(the eight, the nine, the ten, jack, queen and ace of diamonds)

now, The probability that second card picked up is

an ace is 1/6

The probability that second card picked up is

an king is 0