A card is drawn from a pack of 52 playing cards. What is the pro

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsShort Answer Type

181.

A die is thrown once. Find the probability of getting
(i) an odd number.
(ii) a number greater than 4.
(iii) seven.

143 Views

182. A die is thrown once. Find the probability of getting
(i)    a prime number
(ii)    a number divisible by 2
154 Views

183. Two dice are thrown simultaneously. Find the probability that the sum of the two numbers appearing on the top is less than or equal to 10.
1662 Views

184.

A pair of dice is thrown once. Find the probability of getting a total of 5 on two dice.

94 Views

Advertisement
185. A pair of dice is thrown once. Find the probability of getting the same number on each dice. 
955 Views

186.

Two dice are thrown simultaneously. What is the probability that
(i) 5 will not come up on either of them?
(ii) 5 will come up on at least one?
(iii) 5 will come at both dice?

2397 Views

187.

Two dice are thrown simultaneously. Find the probability of getting :
(i) a sum less than 6 (ii) a sum less than 7
(iii) a sum more than 7 (iv) 8 as the sum

319 Views

188. A deck of 52 cards is shuffled. Tanvika draws a single card from the deck at random. What is the probability that the card is a Jack.
140 Views

Advertisement
Advertisement

189.

A card is drawn from a pack of 52 playing cards. What is the probability that it is

(i) an ace
(ii)    a face card
(iii)    any card numbered from 2 to 10?


Total number of all possible outcomes = 52
i.e., n( S) = 52
(i) Let E be the favourable outcomes of getting an ace, then
n(E) = 4 Therefore,

P(E) = fraction numerator straight n left parenthesis straight E right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 4 over 52 equals 1 over 13.

(ii) Let F be the favourable outcomes of getting a face card, then
n(F) = 12 Therefore,

P(F) = fraction numerator straight n left parenthesis straight F right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 12 over 52 equals 3 over 13

(iii) Let G be the favourable outcomes of getting any card numbered from 2 to 10, then n(G)= {36}

Therefore,

P(G) = fraction numerator straight n left parenthesis straight G right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 36 over 52 equals 9 over 13.

108 Views

Advertisement
190.

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is :
(i) red    (ii) either red or king
(iii) red and a king (iv) a red face card
(v) ‘2’ of spades (vi) ‘10’ of a black suit.

546 Views

Advertisement