Q15 of 43 Page 296

A card is drawn from a deck of 52 cards. Find the probability of getting a king or a heart or a red card.

Total number of playing cards = 52

∴ n(S) = 52


Total number of king cards = 4


Total number of heart cards = 13


Total number of red cards = 13 + 13 = 26


∴ Favourable outcomes = 4 + 13 + 26 – 13 – 2


[Here, we subtract 13 and 2 cards because already these cards come in king cards and heart cards]


= 28


We know that,





More from this chapter

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13

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the Probability that

(a) All the three balls are white


(b) All the three balls are red


(c) One ball is red and two balls are white

 14

If the letters of the word ASSASSINATION are arranged at random. Find the Probability that

(a) Four S’s come consecutively in the word


(b) Two I’s and two N’s come together


(c) All A’s are not coming together


(d) No two A’s are coming together.

 16

A sample space consists of 9 elementary outcomes e1, e2, ..., e9 whose probabilities are

P(e1) = P(e2) = .08, P(e3) = P(e4) = P(e5) = .1


P(e6) = P(e7) = .2, P(e8) = P(e9) = .07


Suppose A = {e1, e5, e8}, B = {e2, e5, e8, e9}


(a) Calculate P (A), P (B), and P (A ∩ B)


(b) Using the addition law of probability, calculate P (A ∪ B)


(c) List the composition of the event A ∪ B, and calculate P (A ∪ B) by adding the probabilities of the elementary outcomes.


(d) Calculate P () from P (B), also calculate P () directly from the elementary outcomes of .

17

Determine the probability p, for each of the following events.

(a) An odd number appears in a single toss of a fair die.


(b) At least one head appears in two tosses of a fair coin.


(c) A king, 9 of hearts, or 3 of spades appears in drawing a single card from a well shuffled ordinary deck of 52 cards.


(d) The sum of 6 appears in a single toss of a pair of fair dice.