One letter is randomly selected from the word PRIME and one letter is randomly selected from the word MATH. What is the probability that getting both letters selected are vowels?

A card is chosen at random from a deck of 52 cards. It is then replaced and a second card is chosen. What is the probability that both letters selected are vowels?

Question

One letter is randomly selected from the word PRIME and one letter is randomly selected from the word MATH. What is the probability that getting both letters selected are vowels?





A card is chosen at random from a deck of 52 cards. It is then replaced and a second card is chosen. What is the probability that both letters selected are vowels?

anonymous · Answer

2/5 * 1/5 = 2/25.

4/52 = 1/13.

lilai3 · Answer

thank you very much and hafa good nite, @scarydoor!

lilai3 · Answer

but waiitttt

lilai3 · Answer

wut about the second one?

anonymous · Answer

Oh I misread the second one. The chance is 1/13 * 1/13. Since both random events are independent of each other.

lilai3 · Answer

it's 1/169

lilai3 · Answer

so is it 1\169???

anonymous · Answer

what is 1/13 * 1/13? It's 1/169. In original quesiton, you say what is the chance of choosing a vowel in the card selected. I took that to mean "what is the chance of picking an ace card" since no others have a vowel on their card. So you have 4/52 = 1/13 chance of picking an ace from a pack. Since you choose two cards, from two full decks, they are both independentent of each other. That means that the chance of them both being the ace card is 1/13 * 1/13 = 1/169.

lilai3 · Answer

oh thank you and good night and may da bedbugs not bite u.. teehee :D