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( b) For the event getting a green sector, Remember

Number of favourable outcomes = 5 • Probability of any event lies
between 0 and 1.
Total number of outcomes = 5 + 3 = 8 • Probability of a sure event is 1.
5
\ Probability of getting a green sector = • Probability cannot be negative.
8
( c) For the event of not getting a green sector,
Number of favourable outcomes = 3

Total outcomes = 8
3
\ Probability of not getting a green sector =
8
Example 12: A card is drawn from a well-shuffled pack of cards. What is the probability that the
card drawn is:
( a) a black card? (b) a face card? (c) a number card not greater than 5?

Solution: We know that there are four suits each of 13 cards comprising ace card, number cards
from 2 to 10, and face cards (jack, queen, and king). That is, the total number of cards = 4 × 13 = 52
So, total number of outcomes = 52
( a) Number of black cards = 26 Diamond

26 1
\ P(getting a black card) = =
52 2
( b) Number of face cards = 12

12 3 Club
\ P(getting a face card) = =
52 13
( c) Number card not greater than 5 are 2, 3, 4, 5.

Total number of number cards not greater than Heart
5 = 4 × 4 = 16

\ P(getting a number card not greater than 5)
16 4 Spade
= =
52 13
Example 13: If two coins are tossed together, what are the chances of getting
( a) exactly two heads?
( b) at least one tail? Think and Answer

Also, represent the probabilities on the Three coins are tossed together. Find the probability
number line. of the following events.
Solution: When two coins are tossed together, A: getting exactly two tails
the possible outcomes are HH, HT, TH and TT. B: getting at least two tails
C: getting at least one head and one tail
So, total number of outcomes = 4 D: not getting a tail

( a) Favourable outcomes (exactly two Also, locate them on a number line.
heads) = HH Impossible Equally likely Sure
1
\ P(getting exactly two heads) =
4 0% 25% 50% 75% 100%

113 Data Handling