Question

of the 28
for each of the 28
A
A game in a booth at a spring fair involves using a spinner first. Then if the spinner
stops on an even number, the player is allowed to pick a star from a box. The
spinner and the stars in the box are represented in the diagram below. Prizes are
given when a black star is picked. Max plays the game once.
mect corect
тесt correct
rect/ corect
(a) What is the probability that spinner stops on an even number?
(b) What is the probability that spinner stops on a prime number? 3
rect correct
ect correct
(C) What is the probability that spinner stops on cube of 2?
(d) How likely is it that Max will win prize? Choose correct answer from given
options :
(1) Impossible
(ii) about 50%likely
(iii) not very likely (iv) Certain
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Answer 1

Given :  A game in a booth at a spring fair involves using a spinner first. Then, if the spinner  stops on an even number, the player is allowed to pick a marble from a bag. The  spinner and the marbles in the bag are represented in the diagram below.

To find : Different probabilities

Solution:

Number 1 , 2 , 4 , 6 , 8 , 10

n (Total numbers) = 6

n (Even numbers) = 5

Probability of  Even number = 5/6

Total Marbles = 20

Black Marbles = 6

Probability of Black Marble  =  6/20  = 3/10

Probability of Winning  prize  = (5/6) (3/10)

= 15/60

= 1/4

= 25 %

Probability of Winning  prize  = 25 %

probability that spinner stops on an even number   = 5/6 ( very likely)

probability that spinner stops on a prime number = 0   ( impossible)

(as there is no prime number)

probability that spinner stops on cube of 2 ( 2³ = 8)  = 1/6    not very likely

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