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Leni [432]
3 years ago
5

Two coins are tossed simultaneously. Find the probability of getting

Mathematics
1 answer:
Elodia [21]3 years ago
4 0
(i) Probability of getting two heads = 0.5*0.5 = 0.25
(Here we multiply the probability of getting a head by the probability of getting a head)

(ii) Probability of getting at least one head = 0.5*0.5 + 0.5*0.5 + 0.5*0.5 = 0.75
(Here we add the probability of getting a head and a head to the probability of getting a head and then a tail and then add the probability of getting a tail and then a head)
The second way to do this is to subtract the probability of not getting any heads (ie. getting a tail and a tail) from 1:
1 - 0.5*0.5
= 1 - 0.25
= 0.75
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<h2>Answer with explanation:</h2>

<u>Sample size--</u>

It is the collections of all the possible outcomes of an event.

(A)

It is given that:

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This means that the possible outcomes are given as follows:

(Red,1)          (Green,1)           (Yellow,1)

(Red,2)         (Green,2)          (Yellow,2)

(Red,3)         (Green,3)           (Yellow,3)

(Red,4)         (Green,4)           (Yellow,4)

(Red,5)         (Green,5)           (Yellow,5)

(Red,6)         (Green,6)           (Yellow,6)

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(B)

If the spinner has four colored spaces.

Let the fourth color be: Blue

Then the possible outcomes are given by:

(Red,1)          (Green,1)           (Yellow,1)           (Blue,1)

(Red,2)         (Green,2)          (Yellow,2)          (Blue,2)

(Red,3)         (Green,3)           (Yellow,3)          (Blue,3)

(Red,4)         (Green,4)           (Yellow,4)          (Blue,4)  

(Red,5)         (Green,5)           (Yellow,5)          (Blue,5)

(Red,6)         (Green,6)           (Yellow,6)          (Blue,6)

Hence, the total number of outcomes are:  24

The sample size of this compound event would be 24.

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