class 12

Math

Algebra

Probability I

Let $XandY$be two events that $P(X)=31 ,P(X|Y)=21 andP(Y|X)=52 $then:$P(Y)=154 $ (b) $P(X∪Y)=52 $$P(X_{prime}|Y)=21 $ (d) $P(X∩Y)=51 $

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Five cards—the ten, jack, queen, king and ace of diamonds, are well shuffled with their face downwards. One card is then picked up at random.(i) What is the probability that the card is the queen?(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?

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A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out(i) an orange flavoured candy?(ii) a lemon flavoured candy?