Question

1) A card is drawn randomly from a standard deck of 52 cards. Find the probability of the given event.

a red 9

2) Assume that all elementary events in the same sample space are equally likely.

A pair of fair dice are tossed. What is the probability of obtaining a sum of 11? 10? 7?

probability of obtaining a sum of 11
probability of obtaining a sum of 10
probability of obtaining a sum of 7

Answer 1

(1) In standard deck of 52 cards, 26 cards are red and 26 cards are black.Out of 26 red cards, 13 cards are of Diamond and 13 cards are of Heart.

One card is drawn from a pack of 52 cards in

The ways a 9 of Red red can be drawn is:

Now the probability of deawing a 9 of red from a pack of 52 card is-

So, the probability of drwaing a red of 9 card from a pack of 52 cards is

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(2) When a pair of dice is tossed the the sample space associated with it is-

The total number of elementary events= 36

• Let A be the event "obtaining a sum of 11":

Favourable number of elementary events=2

• Let B be the event "obtaining a sum of 10":

Favourable number of elementary events=3

• Let C be the event "obtaining a sum of 7":

Favourable number of elementary events=6