Probability of choosing a letter from the word space and choosing a consonant from the word math

A - 20%

B - 75%

Step-by-step explanation:

To evaluate the possibility of picking one element from an ensemble, without any restrictions, it's simply to count the ratio of possible "good" answers over the total possibilities:

For both scenarios, we'll assume the letters are placed in different pieces of paper in a bag or a bowl from which the selection is done.

A. Probability of choosing a letter from the word SPACE

To simply answer the question as is, the probably is 100% because if you pick a paper from the bag where you placed all the letters of SPACE and you pick one... there's 100% chance you'll get one.

However, I assume the question means "choosing a SPECIFIC letter"... So, there are 5 different letters, the probability to pick any one specific of them is 1/5, so 20%

B. Choosing a consonant from the word MATH.

To pick any specific letter in this case you have a chance of 1/4, so 25%.

However, the question is about consonants... there are 3 of them in that word... so you have 3 chances out of 4 (3/4, 75%) to pick a consonant.

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step-by-step explanation: