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1. The probability of the spinner landing on an odd number or a blue space is?2. The probability of the spinner landing on an multiple of 3 or a purple space is?

1. The probability of the spinner landing on an odd number or a blue space is?2. The-example-1

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Probability is expressed as

number of favourable outcomes/number of total outcomes

If two events, A and B are mutually exclusive, they cannot occur together. Thus,

A or B = P(A) + P(B)

If two events, A and B are not mutually exclusive, they can both occur together. Thus,

A or B = P(A) + P(B) - P(A and B)

1) let the event of the spinner landing on an odd number be A. There are 4 odd numbers out of 8. Thus, probability of getting an odd number is

P(A) = 4/8

let the event of the spinner landing on a blue space be B. There are 3 numbers out of 8 in the blue space. Thus, probability of getting a number in the blue space is

P(B) = 3/8

We can see that both events are not mutually exclusive because the outcome of 5 out of 8 is common to both events. This probability is P(A and B) = 1/8

Thus, the probability of the spinner landing on an odd number or a blue space is

P(A) + P(B) - P(A and B) = 4/8 + 3/8 - 1/8

= 6/8

= 3/4

2) let the event of the spinner landing on a muliple of 3 be A. There are 2 multiples of 3 out of 8 possibilities. Thus, probability of getting a multiple of 3 is

P(A) = 2/8 = 1/4

let the event of the spinner landing on a purple space be B. There are 2 numbers in the purple space out of 8 possibilities. Thus, probability of getting a number in the purple space is

P(B) = 2/8 = 1/4

The events cannot occur together. Thus, they are mutually exclusive. Therefore, the probability of the spinner landing on an multiple of 3 or a purple space is

P(A) + P(B) = 1/4 + 1/4

= 1/2

User Tanmoy Datta
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