Page 270 - ICSE Math 7

2. If a card is drawn at random from a deck of playing cards, find the probability that the card is:

(a) red (b) a club
(c) an ace (d) a red queen

3. If a pair of dice is thrown once, find each of the following.
(a) P (sum 7) (b) P (sum 12)

(c) P (sum ≥ 8) (d) P (even number on first die)

4. The spinner shown is rotated once. Find each of the following.

(a) P (the arrowhead stop at the number 7) 8 1
7 2
(b) P (the arrowhead stop at an even number)

(c) P (the arrowhead stop at a multiple of 3) 6 3
5 4
(d) P (the arrowhead stop at a factor of 28)
5. A drawer contains 4 black socks, 6 brown socks and 2 red socks. Suppose one sock is drawn
from the drawer and the event of drawing a sock is equally likely. Find:
(a) P (the sock is black)
(b) P (the sock is either black or red)

(c) P (the sock is green)
(d) P (the sock is not green)
6. A roulette wheel has 36 slots around the rim. The first 32 slots are numbered from 1 to 32. Half
of these 32 slots are green and the other half are yellow. The remaining 4 slots have jackpot,
bumper, try again and penalty inscribed on them. A small ivory ball spun in the direction opposite
to that of the wheel has equal chances of falling in any one of the 36 slots. Find each of the
following.
(a) The probability that the ball lands in a yellow slot.
(b) The probability that the ball lands in a jackpot.
(c) The probability that the ball does not land on a numbered slot.
(d) The probability that the ball lands on an odd numbered slot.

7. Three news channels, A, B and C, provided the following exit polls to estimate the number of
seats different political parties will win in an election.

Parties
News Channel Total Seats
Yuva Shakti Jagrit Party Samajsevi
A 26 14 10 50
B 28 20 2 50
C 24 17 9 50

Find the probability of:
(a) Yuva Shakti to win the election using the estimation of channel A.
(b) Jagrit Party to win the election using the estimation of channel C.

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